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Finding the Fourth Proportional to 498.10, 750.47 and 458.74

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Solution

The fourth proportional to 498.10, 750.47 and 458.74 is: 691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.10 : 750.47 = 458.74 : x
  2. Step 2: Convert to fraction form
    498.10/750.47 = 458.74/x
  3. Step 3: Cross multiply
    498.10x = 750.47 × 458.74
  4. Step 4: Simplify right side
    498.10x = 344,270.61
  5. Step 5: Solve for x
    x = 344,270.61/498.10
  6. Step 6: Final answer
    x = 691.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.