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Finding the Fourth Proportional to 947.93, 1,422.11 and 323.19

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Solution

The fourth proportional to 947.93, 1,422.11 and 323.19 is: 484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.93 : 1,422.11 = 323.19 : x
  2. Step 2: Convert to fraction form
    947.93/1,422.11 = 323.19/x
  3. Step 3: Cross multiply
    947.93x = 1,422.11 × 323.19
  4. Step 4: Simplify right side
    947.93x = 459,611.73
  5. Step 5: Solve for x
    x = 459,611.73/947.93
  6. Step 6: Final answer
    x = 484.86

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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.