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Finding the Fourth Proportional to 753.24, 1,039.02 and 477.24

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Solution

The fourth proportional to 753.24, 1,039.02 and 477.24 is: 658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.24 : 1,039.02 = 477.24 : x
  2. Step 2: Convert to fraction form
    753.24/1,039.02 = 477.24/x
  3. Step 3: Cross multiply
    753.24x = 1,039.02 × 477.24
  4. Step 4: Simplify right side
    753.24x = 495,861.90
  5. Step 5: Solve for x
    x = 495,861.90/753.24
  6. Step 6: Final answer
    x = 658.31

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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.