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Finding the Fourth Proportional to 517.78, 714.70 and 331.77

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Solution

The fourth proportional to 517.78, 714.70 and 331.77 is: 457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.78 : 714.70 = 331.77 : x
  2. Step 2: Convert to fraction form
    517.78/714.70 = 331.77/x
  3. Step 3: Cross multiply
    517.78x = 714.70 × 331.77
  4. Step 4: Simplify right side
    517.78x = 237,116.02
  5. Step 5: Solve for x
    x = 237,116.02/517.78
  6. Step 6: Final answer
    x = 457.95

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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.