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Finding the Fourth Proportional to 517.72, 714.34 and 296.64

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Solution

The fourth proportional to 517.72, 714.34 and 296.64 is: 409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.72 : 714.34 = 296.64 : x
  2. Step 2: Convert to fraction form
    517.72/714.34 = 296.64/x
  3. Step 3: Cross multiply
    517.72x = 714.34 × 296.64
  4. Step 4: Simplify right side
    517.72x = 211,901.82
  5. Step 5: Solve for x
    x = 211,901.82/517.72
  6. Step 6: Final answer
    x = 409.30

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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.