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Finding the Fourth Proportional to 517.34, 711.90 and 514.14

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Solution

The fourth proportional to 517.34, 711.90 and 514.14 is: 707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.34 : 711.90 = 514.14 : x
  2. Step 2: Convert to fraction form
    517.34/711.90 = 514.14/x
  3. Step 3: Cross multiply
    517.34x = 711.90 × 514.14
  4. Step 4: Simplify right side
    517.34x = 366,016.27
  5. Step 5: Solve for x
    x = 366,016.27/517.34
  6. Step 6: Final answer
    x = 707.50

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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.