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Finding the Fourth Proportional to 537.82, 743.51 and 514.87

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Solution

The fourth proportional to 537.82, 743.51 and 514.87 is: 711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.82 : 743.51 = 514.87 : x
  2. Step 2: Convert to fraction form
    537.82/743.51 = 514.87/x
  3. Step 3: Cross multiply
    537.82x = 743.51 × 514.87
  4. Step 4: Simplify right side
    537.82x = 382,804.70
  5. Step 5: Solve for x
    x = 382,804.70/537.82
  6. Step 6: Final answer
    x = 711.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.