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Finding the Fourth Proportional to 517.79, 714.36 and 307.97

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Solution

The fourth proportional to 517.79, 714.36 and 307.97 is: 424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.79 : 714.36 = 307.97 : x
  2. Step 2: Convert to fraction form
    517.79/714.36 = 307.97/x
  3. Step 3: Cross multiply
    517.79x = 714.36 × 307.97
  4. Step 4: Simplify right side
    517.79x = 220,001.45
  5. Step 5: Solve for x
    x = 220,001.45/517.79
  6. Step 6: Final answer
    x = 424.89

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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.