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Finding the Fourth Proportional to 517.59, 714.11 and 310.59

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Solution

The fourth proportional to 517.59, 714.11 and 310.59 is: 428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 714.11 = 310.59 : x
  2. Step 2: Convert to fraction form
    517.59/714.11 = 310.59/x
  3. Step 3: Cross multiply
    517.59x = 714.11 × 310.59
  4. Step 4: Simplify right side
    517.59x = 221,793.87
  5. Step 5: Solve for x
    x = 221,793.87/517.59
  6. Step 6: Final answer
    x = 428.51

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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.