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Finding the Fourth Proportional to 537.89, 801.04 and 519.66

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Solution

The fourth proportional to 537.89, 801.04 and 519.66 is: 773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.89 : 801.04 = 519.66 : x
  2. Step 2: Convert to fraction form
    537.89/801.04 = 519.66/x
  3. Step 3: Cross multiply
    537.89x = 801.04 × 519.66
  4. Step 4: Simplify right side
    537.89x = 416,265.85
  5. Step 5: Solve for x
    x = 416,265.85/537.89
  6. Step 6: Final answer
    x = 773.89

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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.