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Finding the Fourth Proportional to 1,463.32, 2,194.62 and 423.28

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Solution

The fourth proportional to 1,463.32, 2,194.62 and 423.28 is: 634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.32 : 2,194.62 = 423.28 : x
  2. Step 2: Convert to fraction form
    1,463.32/2,194.62 = 423.28/x
  3. Step 3: Cross multiply
    1,463.32x = 2,194.62 × 423.28
  4. Step 4: Simplify right side
    1,463.32x = 928,938.75
  5. Step 5: Solve for x
    x = 928,938.75/1,463.32
  6. Step 6: Final answer
    x = 634.82

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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.