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Finding the Fourth Proportional to 834.12, 1,256.09 and 727.20

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Solution

The fourth proportional to 834.12, 1,256.09 and 727.20 is: 1,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.12 : 1,256.09 = 727.20 : x
  2. Step 2: Convert to fraction form
    834.12/1,256.09 = 727.20/x
  3. Step 3: Cross multiply
    834.12x = 1,256.09 × 727.20
  4. Step 4: Simplify right side
    834.12x = 913,425.01
  5. Step 5: Solve for x
    x = 913,425.01/834.12
  6. Step 6: Final answer
    x = 1,095.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.