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Finding the Fourth Proportional to 663.02, 911.92 and 531.74

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Solution

The fourth proportional to 663.02, 911.92 and 531.74 is: 731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.02 : 911.92 = 531.74 : x
  2. Step 2: Convert to fraction form
    663.02/911.92 = 531.74/x
  3. Step 3: Cross multiply
    663.02x = 911.92 × 531.74
  4. Step 4: Simplify right side
    663.02x = 484,898.45
  5. Step 5: Solve for x
    x = 484,898.45/663.02
  6. Step 6: Final answer
    x = 731.35

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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.