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Finding the Fourth Proportional to 461.80, 691.10 and 286.03

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Solution

The fourth proportional to 461.80, 691.10 and 286.03 is: 428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.80 : 691.10 = 286.03 : x
  2. Step 2: Convert to fraction form
    461.80/691.10 = 286.03/x
  3. Step 3: Cross multiply
    461.80x = 691.10 × 286.03
  4. Step 4: Simplify right side
    461.80x = 197,671.88
  5. Step 5: Solve for x
    x = 197,671.88/461.80
  6. Step 6: Final answer
    x = 428.05

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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.