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Finding the Fourth Proportional to 630.22, 869.78 and 499

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Solution

The fourth proportional to 630.22, 869.78 and 499 is: 688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.22 : 869.78 = 499 : x
  2. Step 2: Convert to fraction form
    630.22/869.78 = 499/x
  3. Step 3: Cross multiply
    630.22x = 869.78 × 499
  4. Step 4: Simplify right side
    630.22x = 434,020.22
  5. Step 5: Solve for x
    x = 434,020.22/630.22
  6. Step 6: Final answer
    x = 688.68

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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.