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Finding the Fourth Proportional to 686.28, 1,033.86 and 652.32

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Solution

The fourth proportional to 686.28, 1,033.86 and 652.32 is: 982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.28 : 1,033.86 = 652.32 : x
  2. Step 2: Convert to fraction form
    686.28/1,033.86 = 652.32/x
  3. Step 3: Cross multiply
    686.28x = 1,033.86 × 652.32
  4. Step 4: Simplify right side
    686.28x = 674,407.56
  5. Step 5: Solve for x
    x = 674,407.56/686.28
  6. Step 6: Final answer
    x = 982.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.