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Finding the Fourth Proportional to 752.90, 1,129.62 and 538.16

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Solution

The fourth proportional to 752.90, 1,129.62 and 538.16 is: 807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.90 : 1,129.62 = 538.16 : x
  2. Step 2: Convert to fraction form
    752.90/1,129.62 = 538.16/x
  3. Step 3: Cross multiply
    752.90x = 1,129.62 × 538.16
  4. Step 4: Simplify right side
    752.90x = 607,916.30
  5. Step 5: Solve for x
    x = 607,916.30/752.90
  6. Step 6: Final answer
    x = 807.43

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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.