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Finding the Fourth Proportional to 1,353.19, 1,867.41 and 732.19

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Solution

The fourth proportional to 1,353.19, 1,867.41 and 732.19 is: 1,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.19 : 1,867.41 = 732.19 : x
  2. Step 2: Convert to fraction form
    1,353.19/1,867.41 = 732.19/x
  3. Step 3: Cross multiply
    1,353.19x = 1,867.41 × 732.19
  4. Step 4: Simplify right side
    1,353.19x = 1,367,295.27
  5. Step 5: Solve for x
    x = 1,367,295.27/1,353.19
  6. Step 6: Final answer
    x = 1,010.42

Related Problems

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Half scale
Find fourth proportional to 2,706.38, 3,734.81 and 1,464.38
Double scale
Find fourth proportional to 1,354.19, 1,868.79 and 733.19
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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.