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Finding the Fourth Proportional to 630.92, 869.68 and 499.68

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Solution

The fourth proportional to 630.92, 869.68 and 499.68 is: 688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.92 : 869.68 = 499.68 : x
  2. Step 2: Convert to fraction form
    630.92/869.68 = 499.68/x
  3. Step 3: Cross multiply
    630.92x = 869.68 × 499.68
  4. Step 4: Simplify right side
    630.92x = 434,561.70
  5. Step 5: Solve for x
    x = 434,561.70/630.92
  6. Step 6: Final answer
    x = 688.77

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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.