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Finding the Fourth Proportional to 540.28, 809.72 and 471.48

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Solution

The fourth proportional to 540.28, 809.72 and 471.48 is: 706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.28 : 809.72 = 471.48 : x
  2. Step 2: Convert to fraction form
    540.28/809.72 = 471.48/x
  3. Step 3: Cross multiply
    540.28x = 809.72 × 471.48
  4. Step 4: Simplify right side
    540.28x = 381,766.79
  5. Step 5: Solve for x
    x = 381,766.79/540.28
  6. Step 6: Final answer
    x = 706.61

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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.