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Finding the Fourth Proportional to 713.11, 1,069.69 and 674.15

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Solution

The fourth proportional to 713.11, 1,069.69 and 674.15 is: 1,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.11 : 1,069.69 = 674.15 : x
  2. Step 2: Convert to fraction form
    713.11/1,069.69 = 674.15/x
  3. Step 3: Cross multiply
    713.11x = 1,069.69 × 674.15
  4. Step 4: Simplify right side
    713.11x = 721,126.17
  5. Step 5: Solve for x
    x = 721,126.17/713.11
  6. Step 6: Final answer
    x = 1,011.25

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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.