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Finding the Fourth Proportional to 948.40, 1,422.42 and 461.23

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Solution

The fourth proportional to 948.40, 1,422.42 and 461.23 is: 691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.40 : 1,422.42 = 461.23 : x
  2. Step 2: Convert to fraction form
    948.40/1,422.42 = 461.23/x
  3. Step 3: Cross multiply
    948.40x = 1,422.42 × 461.23
  4. Step 4: Simplify right side
    948.40x = 656,062.78
  5. Step 5: Solve for x
    x = 656,062.78/948.40
  6. Step 6: Final answer
    x = 691.76

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Double scale
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1.5x scale

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.