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Finding the Fourth Proportional to 501.15, 748.05 and 431.91

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Solution

The fourth proportional to 501.15, 748.05 and 431.91 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.15 : 748.05 = 431.91 : x
  2. Step 2: Convert to fraction form
    501.15/748.05 = 431.91/x
  3. Step 3: Cross multiply
    501.15x = 748.05 × 431.91
  4. Step 4: Simplify right side
    501.15x = 323,090.28
  5. Step 5: Solve for x
    x = 323,090.28/501.15
  6. Step 6: Final answer
    x = 644.70

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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.