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Finding the Fourth Proportional to 595.31, 819.45 and 517.55

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Solution

The fourth proportional to 595.31, 819.45 and 517.55 is: 712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.31 : 819.45 = 517.55 : x
  2. Step 2: Convert to fraction form
    595.31/819.45 = 517.55/x
  3. Step 3: Cross multiply
    595.31x = 819.45 × 517.55
  4. Step 4: Simplify right side
    595.31x = 424,102.25
  5. Step 5: Solve for x
    x = 424,102.25/595.31
  6. Step 6: Final answer
    x = 712.41

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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.