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Finding the Fourth Proportional to 574.28, 860.23 and 280.90

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Solution

The fourth proportional to 574.28, 860.23 and 280.90 is: 420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.28 : 860.23 = 280.90 : x
  2. Step 2: Convert to fraction form
    574.28/860.23 = 280.90/x
  3. Step 3: Cross multiply
    574.28x = 860.23 × 280.90
  4. Step 4: Simplify right side
    574.28x = 241,638.61
  5. Step 5: Solve for x
    x = 241,638.61/574.28
  6. Step 6: Final answer
    x = 420.77

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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.