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Finding the Fourth Proportional to 498.98, 747.66 and 395.71

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Solution

The fourth proportional to 498.98, 747.66 and 395.71 is: 592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.98 : 747.66 = 395.71 : x
  2. Step 2: Convert to fraction form
    498.98/747.66 = 395.71/x
  3. Step 3: Cross multiply
    498.98x = 747.66 × 395.71
  4. Step 4: Simplify right side
    498.98x = 295,856.54
  5. Step 5: Solve for x
    x = 295,856.54/498.98
  6. Step 6: Final answer
    x = 592.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.