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Finding the Fourth Proportional to 461.30, 686.83 and 454.84

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Solution

The fourth proportional to 461.30, 686.83 and 454.84 is: 677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.30 : 686.83 = 454.84 : x
  2. Step 2: Convert to fraction form
    461.30/686.83 = 454.84/x
  3. Step 3: Cross multiply
    461.30x = 686.83 × 454.84
  4. Step 4: Simplify right side
    461.30x = 312,395.48
  5. Step 5: Solve for x
    x = 312,395.48/461.30
  6. Step 6: Final answer
    x = 677.21

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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.