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Finding the Fourth Proportional to 827.56, 1,139.52 and 717.04

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Solution

The fourth proportional to 827.56, 1,139.52 and 717.04 is: 987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.56 : 1,139.52 = 717.04 : x
  2. Step 2: Convert to fraction form
    827.56/1,139.52 = 717.04/x
  3. Step 3: Cross multiply
    827.56x = 1,139.52 × 717.04
  4. Step 4: Simplify right side
    827.56x = 817,081.42
  5. Step 5: Solve for x
    x = 817,081.42/827.56
  6. Step 6: Final answer
    x = 987.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.