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Finding the Fourth Proportional to 947.70, 1,422 and 461.16

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Solution

The fourth proportional to 947.70, 1,422 and 461.16 is: 691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.70 : 1,422 = 461.16 : x
  2. Step 2: Convert to fraction form
    947.70/1,422 = 461.16/x
  3. Step 3: Cross multiply
    947.70x = 1,422 × 461.16
  4. Step 4: Simplify right side
    947.70x = 655,769.52
  5. Step 5: Solve for x
    x = 655,769.52/947.70
  6. Step 6: Final answer
    x = 691.96

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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.