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Finding the Fourth Proportional to 834.42, 1,252.56 and 488.16

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Solution

The fourth proportional to 834.42, 1,252.56 and 488.16 is: 732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.42 : 1,252.56 = 488.16 : x
  2. Step 2: Convert to fraction form
    834.42/1,252.56 = 488.16/x
  3. Step 3: Cross multiply
    834.42x = 1,252.56 × 488.16
  4. Step 4: Simplify right side
    834.42x = 611,449.69
  5. Step 5: Solve for x
    x = 611,449.69/834.42
  6. Step 6: Final answer
    x = 732.78

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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.