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Finding the Fourth Proportional to 517.71, 714.75 and 340.95

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Solution

The fourth proportional to 517.71, 714.75 and 340.95 is: 470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.71 : 714.75 = 340.95 : x
  2. Step 2: Convert to fraction form
    517.71/714.75 = 340.95/x
  3. Step 3: Cross multiply
    517.71x = 714.75 × 340.95
  4. Step 4: Simplify right side
    517.71x = 243,694.01
  5. Step 5: Solve for x
    x = 243,694.01/517.71
  6. Step 6: Final answer
    x = 470.72

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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.