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Finding the Fourth Proportional to 539.54, 807.90 and 494.43

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Solution

The fourth proportional to 539.54, 807.90 and 494.43 is: 740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.54 : 807.90 = 494.43 : x
  2. Step 2: Convert to fraction form
    539.54/807.90 = 494.43/x
  3. Step 3: Cross multiply
    539.54x = 807.90 × 494.43
  4. Step 4: Simplify right side
    539.54x = 399,448.78
  5. Step 5: Solve for x
    x = 399,448.78/539.54
  6. Step 6: Final answer
    x = 740.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.