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Finding the Fourth Proportional to 836.06, 1,253.68 and 316.04

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Solution

The fourth proportional to 836.06, 1,253.68 and 316.04 is: 473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.06 : 1,253.68 = 316.04 : x
  2. Step 2: Convert to fraction form
    836.06/1,253.68 = 316.04/x
  3. Step 3: Cross multiply
    836.06x = 1,253.68 × 316.04
  4. Step 4: Simplify right side
    836.06x = 396,205.97
  5. Step 5: Solve for x
    x = 396,205.97/836.06
  6. Step 6: Final answer
    x = 473.90

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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.