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Finding the Fourth Proportional to 572.70, 859.10 and 280.30

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Solution

The fourth proportional to 572.70, 859.10 and 280.30 is: 420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.70 : 859.10 = 280.30 : x
  2. Step 2: Convert to fraction form
    572.70/859.10 = 280.30/x
  3. Step 3: Cross multiply
    572.70x = 859.10 × 280.30
  4. Step 4: Simplify right side
    572.70x = 240,805.73
  5. Step 5: Solve for x
    x = 240,805.73/572.70
  6. Step 6: Final answer
    x = 420.47

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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.