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Finding the Fourth Proportional to 981.44, 1,474.56 and 856.16

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Solution

The fourth proportional to 981.44, 1,474.56 and 856.16 is: 1,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.44 : 1,474.56 = 856.16 : x
  2. Step 2: Convert to fraction form
    981.44/1,474.56 = 856.16/x
  3. Step 3: Cross multiply
    981.44x = 1,474.56 × 856.16
  4. Step 4: Simplify right side
    981.44x = 1,262,459.29
  5. Step 5: Solve for x
    x = 1,262,459.29/981.44
  6. Step 6: Final answer
    x = 1,286.33

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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.