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Finding the Fourth Proportional to 621.34, 932.10 and 512.80

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Solution

The fourth proportional to 621.34, 932.10 and 512.80 is: 769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.34 : 932.10 = 512.80 : x
  2. Step 2: Convert to fraction form
    621.34/932.10 = 512.80/x
  3. Step 3: Cross multiply
    621.34x = 932.10 × 512.80
  4. Step 4: Simplify right side
    621.34x = 477,980.88
  5. Step 5: Solve for x
    x = 477,980.88/621.34
  6. Step 6: Final answer
    x = 769.27

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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.