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Finding the Fourth Proportional to 948.54, 1,422.66 and 461.46

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Solution

The fourth proportional to 948.54, 1,422.66 and 461.46 is: 692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.54 : 1,422.66 = 461.46 : x
  2. Step 2: Convert to fraction form
    948.54/1,422.66 = 461.46/x
  3. Step 3: Cross multiply
    948.54x = 1,422.66 × 461.46
  4. Step 4: Simplify right side
    948.54x = 656,500.68
  5. Step 5: Solve for x
    x = 656,500.68/948.54
  6. Step 6: Final answer
    x = 692.12

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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.