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Finding the Fourth Proportional to 498.56, 686.48 and 424.71

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Solution

The fourth proportional to 498.56, 686.48 and 424.71 is: 584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.56 : 686.48 = 424.71 : x
  2. Step 2: Convert to fraction form
    498.56/686.48 = 424.71/x
  3. Step 3: Cross multiply
    498.56x = 686.48 × 424.71
  4. Step 4: Simplify right side
    498.56x = 291,552.80
  5. Step 5: Solve for x
    x = 291,552.80/498.56
  6. Step 6: Final answer
    x = 584.80

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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.