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Finding the Fourth Proportional to 949.85, 1,422.72 and 461.88

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Solution

The fourth proportional to 949.85, 1,422.72 and 461.88 is: 691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.85 : 1,422.72 = 461.88 : x
  2. Step 2: Convert to fraction form
    949.85/1,422.72 = 461.88/x
  3. Step 3: Cross multiply
    949.85x = 1,422.72 × 461.88
  4. Step 4: Simplify right side
    949.85x = 657,125.91
  5. Step 5: Solve for x
    x = 657,125.91/949.85
  6. Step 6: Final answer
    x = 691.82

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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.