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Finding the Fourth Proportional to 517.64, 714.21 and 296.66

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Solution

The fourth proportional to 517.64, 714.21 and 296.66 is: 409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 714.21 = 296.66 : x
  2. Step 2: Convert to fraction form
    517.64/714.21 = 296.66/x
  3. Step 3: Cross multiply
    517.64x = 714.21 × 296.66
  4. Step 4: Simplify right side
    517.64x = 211,873.97
  5. Step 5: Solve for x
    x = 211,873.97/517.64
  6. Step 6: Final answer
    x = 409.31

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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.