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Finding the Fourth Proportional to 725.67, 1,086.08 and 508.59

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Solution

The fourth proportional to 725.67, 1,086.08 and 508.59 is: 761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.67 : 1,086.08 = 508.59 : x
  2. Step 2: Convert to fraction form
    725.67/1,086.08 = 508.59/x
  3. Step 3: Cross multiply
    725.67x = 1,086.08 × 508.59
  4. Step 4: Simplify right side
    725.67x = 552,366.88
  5. Step 5: Solve for x
    x = 552,366.88/725.67
  6. Step 6: Final answer
    x = 761.18

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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.