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Finding the Fourth Proportional to 716.09, 1,073.12 and 423.65

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Solution

The fourth proportional to 716.09, 1,073.12 and 423.65 is: 634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.09 : 1,073.12 = 423.65 : x
  2. Step 2: Convert to fraction form
    716.09/1,073.12 = 423.65/x
  3. Step 3: Cross multiply
    716.09x = 1,073.12 × 423.65
  4. Step 4: Simplify right side
    716.09x = 454,627.85
  5. Step 5: Solve for x
    x = 454,627.85/716.09
  6. Step 6: Final answer
    x = 634.88

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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.