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Finding the Fourth Proportional to 1,353.69, 1,868.04 and 764.19

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Solution

The fourth proportional to 1,353.69, 1,868.04 and 764.19 is: 1,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.69 : 1,868.04 = 764.19 : x
  2. Step 2: Convert to fraction form
    1,353.69/1,868.04 = 764.19/x
  3. Step 3: Cross multiply
    1,353.69x = 1,868.04 × 764.19
  4. Step 4: Simplify right side
    1,353.69x = 1,427,537.49
  5. Step 5: Solve for x
    x = 1,427,537.49/1,353.69
  6. Step 6: Final answer
    x = 1,054.55

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,354.69, 1,869.42 and 765.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.