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Finding the Fourth Proportional to 686.88, 1,022.22 and 660.96

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Solution

The fourth proportional to 686.88, 1,022.22 and 660.96 is: 983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.88 : 1,022.22 = 660.96 : x
  2. Step 2: Convert to fraction form
    686.88/1,022.22 = 660.96/x
  3. Step 3: Cross multiply
    686.88x = 1,022.22 × 660.96
  4. Step 4: Simplify right side
    686.88x = 675,646.53
  5. Step 5: Solve for x
    x = 675,646.53/686.88
  6. Step 6: Final answer
    x = 983.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.