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Finding the Fourth Proportional to 501.72, 691.92 and 414.24

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Solution

The fourth proportional to 501.72, 691.92 and 414.24 is: 571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.72 : 691.92 = 414.24 : x
  2. Step 2: Convert to fraction form
    501.72/691.92 = 414.24/x
  3. Step 3: Cross multiply
    501.72x = 691.92 × 414.24
  4. Step 4: Simplify right side
    501.72x = 286,620.94
  5. Step 5: Solve for x
    x = 286,620.94/501.72
  6. Step 6: Final answer
    x = 571.28

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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.