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Finding the Fourth Proportional to 517.39, 714.68 and 384.91

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Solution

The fourth proportional to 517.39, 714.68 and 384.91 is: 531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.39 : 714.68 = 384.91 : x
  2. Step 2: Convert to fraction form
    517.39/714.68 = 384.91/x
  3. Step 3: Cross multiply
    517.39x = 714.68 × 384.91
  4. Step 4: Simplify right side
    517.39x = 275,087.48
  5. Step 5: Solve for x
    x = 275,087.48/517.39
  6. Step 6: Final answer
    x = 531.68

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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.