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Finding the Fourth Proportional to 498.05, 686.41 and 431.53

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Solution

The fourth proportional to 498.05, 686.41 and 431.53 is: 594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.05 : 686.41 = 431.53 : x
  2. Step 2: Convert to fraction form
    498.05/686.41 = 431.53/x
  3. Step 3: Cross multiply
    498.05x = 686.41 × 431.53
  4. Step 4: Simplify right side
    498.05x = 296,203.71
  5. Step 5: Solve for x
    x = 296,203.71/498.05
  6. Step 6: Final answer
    x = 594.73

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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.