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Finding the Fourth Proportional to 537.82, 742.70 and 517.76

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Solution

The fourth proportional to 537.82, 742.70 and 517.76 is: 715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.82 : 742.70 = 517.76 : x
  2. Step 2: Convert to fraction form
    537.82/742.70 = 517.76/x
  3. Step 3: Cross multiply
    537.82x = 742.70 × 517.76
  4. Step 4: Simplify right side
    537.82x = 384,540.35
  5. Step 5: Solve for x
    x = 384,540.35/537.82
  6. Step 6: Final answer
    x = 715.00

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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.