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Finding the Fourth Proportional to 501.57, 691.29 and 431.46

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Solution

The fourth proportional to 501.57, 691.29 and 431.46 is: 594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.57 : 691.29 = 431.46 : x
  2. Step 2: Convert to fraction form
    501.57/691.29 = 431.46/x
  3. Step 3: Cross multiply
    501.57x = 691.29 × 431.46
  4. Step 4: Simplify right side
    501.57x = 298,263.98
  5. Step 5: Solve for x
    x = 298,263.98/501.57
  6. Step 6: Final answer
    x = 594.66

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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.