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Finding the Fourth Proportional to 540.78, 806.48 and 521.88

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Solution

The fourth proportional to 540.78, 806.48 and 521.88 is: 778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 806.48 = 521.88 : x
  2. Step 2: Convert to fraction form
    540.78/806.48 = 521.88/x
  3. Step 3: Cross multiply
    540.78x = 806.48 × 521.88
  4. Step 4: Simplify right side
    540.78x = 420,883.17
  5. Step 5: Solve for x
    x = 420,883.17/540.78
  6. Step 6: Final answer
    x = 778.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.