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Finding the Fourth Proportional to 540.60, 809.04 and 471.75

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Solution

The fourth proportional to 540.60, 809.04 and 471.75 is: 706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.60 : 809.04 = 471.75 : x
  2. Step 2: Convert to fraction form
    540.60/809.04 = 471.75/x
  3. Step 3: Cross multiply
    540.60x = 809.04 × 471.75
  4. Step 4: Simplify right side
    540.60x = 381,664.62
  5. Step 5: Solve for x
    x = 381,664.62/540.60
  6. Step 6: Final answer
    x = 706.00

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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.