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Finding the Fourth Proportional to 501.40, 748.43 and 432.15

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Solution

The fourth proportional to 501.40, 748.43 and 432.15 is: 645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.40 : 748.43 = 432.15 : x
  2. Step 2: Convert to fraction form
    501.40/748.43 = 432.15/x
  3. Step 3: Cross multiply
    501.40x = 748.43 × 432.15
  4. Step 4: Simplify right side
    501.40x = 323,434.02
  5. Step 5: Solve for x
    x = 323,434.02/501.40
  6. Step 6: Final answer
    x = 645.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.