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Finding the Fourth Proportional to 537.39, 800.29 and 519.16

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Solution

The fourth proportional to 537.39, 800.29 and 519.16 is: 773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.39 : 800.29 = 519.16 : x
  2. Step 2: Convert to fraction form
    537.39/800.29 = 519.16/x
  3. Step 3: Cross multiply
    537.39x = 800.29 × 519.16
  4. Step 4: Simplify right side
    537.39x = 415,479.85
  5. Step 5: Solve for x
    x = 415,479.85/537.39
  6. Step 6: Final answer
    x = 773.15

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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.