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Finding the Fourth Proportional to 1,353.96, 2,029.42 and 886.33

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Solution

The fourth proportional to 1,353.96, 2,029.42 and 886.33 is: 1,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.96 : 2,029.42 = 886.33 : x
  2. Step 2: Convert to fraction form
    1,353.96/2,029.42 = 886.33/x
  3. Step 3: Cross multiply
    1,353.96x = 2,029.42 × 886.33
  4. Step 4: Simplify right side
    1,353.96x = 1,798,731.40
  5. Step 5: Solve for x
    x = 1,798,731.40/1,353.96
  6. Step 6: Final answer
    x = 1,328.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.