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Finding the Fourth Proportional to 540.79, 747.26 and 409.57

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Solution

The fourth proportional to 540.79, 747.26 and 409.57 is: 565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.79 : 747.26 = 409.57 : x
  2. Step 2: Convert to fraction form
    540.79/747.26 = 409.57/x
  3. Step 3: Cross multiply
    540.79x = 747.26 × 409.57
  4. Step 4: Simplify right side
    540.79x = 306,052.90
  5. Step 5: Solve for x
    x = 306,052.90/540.79
  6. Step 6: Final answer
    x = 565.94

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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.