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Finding the Fourth Proportional to 716.14, 1,074.28 and 229.24

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Solution

The fourth proportional to 716.14, 1,074.28 and 229.24 is: 343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.14 : 1,074.28 = 229.24 : x
  2. Step 2: Convert to fraction form
    716.14/1,074.28 = 229.24/x
  3. Step 3: Cross multiply
    716.14x = 1,074.28 × 229.24
  4. Step 4: Simplify right side
    716.14x = 246,267.95
  5. Step 5: Solve for x
    x = 246,267.95/716.14
  6. Step 6: Final answer
    x = 343.88

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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.