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Finding the Fourth Proportional to 461.05, 686.45 and 454.59

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Solution

The fourth proportional to 461.05, 686.45 and 454.59 is: 676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.05 : 686.45 = 454.59 : x
  2. Step 2: Convert to fraction form
    461.05/686.45 = 454.59/x
  3. Step 3: Cross multiply
    461.05x = 686.45 × 454.59
  4. Step 4: Simplify right side
    461.05x = 312,054.44
  5. Step 5: Solve for x
    x = 312,054.44/461.05
  6. Step 6: Final answer
    x = 676.84

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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.