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Finding the Fourth Proportional to 686.68, 1,029.41 and 454.87

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Solution

The fourth proportional to 686.68, 1,029.41 and 454.87 is: 681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.68 : 1,029.41 = 454.87 : x
  2. Step 2: Convert to fraction form
    686.68/1,029.41 = 454.87/x
  3. Step 3: Cross multiply
    686.68x = 1,029.41 × 454.87
  4. Step 4: Simplify right side
    686.68x = 468,242.65
  5. Step 5: Solve for x
    x = 468,242.65/686.68
  6. Step 6: Final answer
    x = 681.90

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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.