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Finding the Fourth Proportional to 540.06, 744.49 and 421.78

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Solution

The fourth proportional to 540.06, 744.49 and 421.78 is: 581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.06 : 744.49 = 421.78 : x
  2. Step 2: Convert to fraction form
    540.06/744.49 = 421.78/x
  3. Step 3: Cross multiply
    540.06x = 744.49 × 421.78
  4. Step 4: Simplify right side
    540.06x = 314,008.88
  5. Step 5: Solve for x
    x = 314,008.88/540.06
  6. Step 6: Final answer
    x = 581.43

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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.