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Finding the Fourth Proportional to 512.62, 707.20 and 335.52

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Solution

The fourth proportional to 512.62, 707.20 and 335.52 is: 462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.62 : 707.20 = 335.52 : x
  2. Step 2: Convert to fraction form
    512.62/707.20 = 335.52/x
  3. Step 3: Cross multiply
    512.62x = 707.20 × 335.52
  4. Step 4: Simplify right side
    512.62x = 237,278.91
  5. Step 5: Solve for x
    x = 237,278.91/512.62
  6. Step 6: Final answer
    x = 462.88

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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.