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Finding the Fourth Proportional to 716.87, 1,074.12 and 689.90

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Solution

The fourth proportional to 716.87, 1,074.12 and 689.90 is: 1,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.87 : 1,074.12 = 689.90 : x
  2. Step 2: Convert to fraction form
    716.87/1,074.12 = 689.90/x
  3. Step 3: Cross multiply
    716.87x = 1,074.12 × 689.90
  4. Step 4: Simplify right side
    716.87x = 741,030.02
  5. Step 5: Solve for x
    x = 741,030.02/716.87
  6. Step 6: Final answer
    x = 1,033.71

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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.