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Finding the Fourth Proportional to 526.28, 724.61 and 447.44

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Solution

The fourth proportional to 526.28, 724.61 and 447.44 is: 616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.28 : 724.61 = 447.44 : x
  2. Step 2: Convert to fraction form
    526.28/724.61 = 447.44/x
  3. Step 3: Cross multiply
    526.28x = 724.61 × 447.44
  4. Step 4: Simplify right side
    526.28x = 324,213.64
  5. Step 5: Solve for x
    x = 324,213.64/526.28
  6. Step 6: Final answer
    x = 616.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.