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Finding the Fourth Proportional to 865.38, 1,298.04 and 280.43

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Solution

The fourth proportional to 865.38, 1,298.04 and 280.43 is: 420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.38 : 1,298.04 = 280.43 : x
  2. Step 2: Convert to fraction form
    865.38/1,298.04 = 280.43/x
  3. Step 3: Cross multiply
    865.38x = 1,298.04 × 280.43
  4. Step 4: Simplify right side
    865.38x = 364,002.87
  5. Step 5: Solve for x
    x = 364,002.87/865.38
  6. Step 6: Final answer
    x = 420.63

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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.