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Finding the Fourth Proportional to 572.66, 859.24 and 280.43

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Solution

The fourth proportional to 572.66, 859.24 and 280.43 is: 420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.66 : 859.24 = 280.43 : x
  2. Step 2: Convert to fraction form
    572.66/859.24 = 280.43/x
  3. Step 3: Cross multiply
    572.66x = 859.24 × 280.43
  4. Step 4: Simplify right side
    572.66x = 240,951.68
  5. Step 5: Solve for x
    x = 240,951.68/572.66
  6. Step 6: Final answer
    x = 420.76

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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.