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Finding the Fourth Proportional to 595.89, 820.53 and 517.12

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Solution

The fourth proportional to 595.89, 820.53 and 517.12 is: 712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.89 : 820.53 = 517.12 : x
  2. Step 2: Convert to fraction form
    595.89/820.53 = 517.12/x
  3. Step 3: Cross multiply
    595.89x = 820.53 × 517.12
  4. Step 4: Simplify right side
    595.89x = 424,310.42
  5. Step 5: Solve for x
    x = 424,310.42/595.89
  6. Step 6: Final answer
    x = 712.06

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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.