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Finding the Fourth Proportional to 630.69, 944.98 and 499.97

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Solution

The fourth proportional to 630.69, 944.98 and 499.97 is: 749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.69 : 944.98 = 499.97 : x
  2. Step 2: Convert to fraction form
    630.69/944.98 = 499.97/x
  3. Step 3: Cross multiply
    630.69x = 944.98 × 499.97
  4. Step 4: Simplify right side
    630.69x = 472,465.58
  5. Step 5: Solve for x
    x = 472,465.58/630.69
  6. Step 6: Final answer
    x = 749.13

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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.