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Finding the Fourth Proportional to 540.89, 744.49 and 478.97

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Solution

The fourth proportional to 540.89, 744.49 and 478.97 is: 659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.89 : 744.49 = 478.97 : x
  2. Step 2: Convert to fraction form
    540.89/744.49 = 478.97/x
  3. Step 3: Cross multiply
    540.89x = 744.49 × 478.97
  4. Step 4: Simplify right side
    540.89x = 356,589.04
  5. Step 5: Solve for x
    x = 356,589.04/540.89
  6. Step 6: Final answer
    x = 659.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.