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Finding the Fourth Proportional to 716.06, 993.18 and 686.90

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Solution

The fourth proportional to 716.06, 993.18 and 686.90 is: 952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.06 : 993.18 = 686.90 : x
  2. Step 2: Convert to fraction form
    716.06/993.18 = 686.90/x
  3. Step 3: Cross multiply
    716.06x = 993.18 × 686.90
  4. Step 4: Simplify right side
    716.06x = 682,215.34
  5. Step 5: Solve for x
    x = 682,215.34/716.06
  6. Step 6: Final answer
    x = 952.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.