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Finding the Fourth Proportional to 709.12, 1,061.88 and 513.31

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Solution

The fourth proportional to 709.12, 1,061.88 and 513.31 is: 768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.12 : 1,061.88 = 513.31 : x
  2. Step 2: Convert to fraction form
    709.12/1,061.88 = 513.31/x
  3. Step 3: Cross multiply
    709.12x = 1,061.88 × 513.31
  4. Step 4: Simplify right side
    709.12x = 545,073.62
  5. Step 5: Solve for x
    x = 545,073.62/709.12
  6. Step 6: Final answer
    x = 768.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.