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Finding the Fourth Proportional to 686.97, 1,028.72 and 455.16

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Solution

The fourth proportional to 686.97, 1,028.72 and 455.16 is: 681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.97 : 1,028.72 = 455.16 : x
  2. Step 2: Convert to fraction form
    686.97/1,028.72 = 455.16/x
  3. Step 3: Cross multiply
    686.97x = 1,028.72 × 455.16
  4. Step 4: Simplify right side
    686.97x = 468,229.05
  5. Step 5: Solve for x
    x = 468,229.05/686.97
  6. Step 6: Final answer
    x = 681.59

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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.