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Finding the Fourth Proportional to 517.95, 714.48 and 393.39

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Solution

The fourth proportional to 517.95, 714.48 and 393.39 is: 542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.95 : 714.48 = 393.39 : x
  2. Step 2: Convert to fraction form
    517.95/714.48 = 393.39/x
  3. Step 3: Cross multiply
    517.95x = 714.48 × 393.39
  4. Step 4: Simplify right side
    517.95x = 281,069.29
  5. Step 5: Solve for x
    x = 281,069.29/517.95
  6. Step 6: Final answer
    x = 542.66

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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.