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Finding the Fourth Proportional to 544.92, 814.15 and 540.06

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Solution

The fourth proportional to 544.92, 814.15 and 540.06 is: 806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.92 : 814.15 = 540.06 : x
  2. Step 2: Convert to fraction form
    544.92/814.15 = 540.06/x
  3. Step 3: Cross multiply
    544.92x = 814.15 × 540.06
  4. Step 4: Simplify right side
    544.92x = 439,689.85
  5. Step 5: Solve for x
    x = 439,689.85/544.92
  6. Step 6: Final answer
    x = 806.89

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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.