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Finding the Fourth Proportional to 520.78, 781.92 and 348.52

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Solution

The fourth proportional to 520.78, 781.92 and 348.52 is: 523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.78 : 781.92 = 348.52 : x
  2. Step 2: Convert to fraction form
    520.78/781.92 = 348.52/x
  3. Step 3: Cross multiply
    520.78x = 781.92 × 348.52
  4. Step 4: Simplify right side
    520.78x = 272,514.76
  5. Step 5: Solve for x
    x = 272,514.76/520.78
  6. Step 6: Final answer
    x = 523.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.