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Finding the Fourth Proportional to 523.52, 781.36 and 488.96

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Solution

The fourth proportional to 523.52, 781.36 and 488.96 is: 729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.52 : 781.36 = 488.96 : x
  2. Step 2: Convert to fraction form
    523.52/781.36 = 488.96/x
  3. Step 3: Cross multiply
    523.52x = 781.36 × 488.96
  4. Step 4: Simplify right side
    523.52x = 382,053.79
  5. Step 5: Solve for x
    x = 382,053.79/523.52
  6. Step 6: Final answer
    x = 729.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.