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Finding the Fourth Proportional to 947.92, 1,422.60 and 461.28

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Solution

The fourth proportional to 947.92, 1,422.60 and 461.28 is: 692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.92 : 1,422.60 = 461.28 : x
  2. Step 2: Convert to fraction form
    947.92/1,422.60 = 461.28/x
  3. Step 3: Cross multiply
    947.92x = 1,422.60 × 461.28
  4. Step 4: Simplify right side
    947.92x = 656,216.93
  5. Step 5: Solve for x
    x = 656,216.93/947.92
  6. Step 6: Final answer
    x = 692.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.