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Finding the Fourth Proportional to 519.52, 778.56 and 474.88

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Solution

The fourth proportional to 519.52, 778.56 and 474.88 is: 711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.52 : 778.56 = 474.88 : x
  2. Step 2: Convert to fraction form
    519.52/778.56 = 474.88/x
  3. Step 3: Cross multiply
    519.52x = 778.56 × 474.88
  4. Step 4: Simplify right side
    519.52x = 369,722.57
  5. Step 5: Solve for x
    x = 369,722.57/519.52
  6. Step 6: Final answer
    x = 711.66

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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.