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Finding the Fourth Proportional to 712.61, 982.78 and 547.17

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Solution

The fourth proportional to 712.61, 982.78 and 547.17 is: 754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.61 : 982.78 = 547.17 : x
  2. Step 2: Convert to fraction form
    712.61/982.78 = 547.17/x
  3. Step 3: Cross multiply
    712.61x = 982.78 × 547.17
  4. Step 4: Simplify right side
    712.61x = 537,742.68
  5. Step 5: Solve for x
    x = 537,742.68/712.61
  6. Step 6: Final answer
    x = 754.61

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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.