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Finding the Fourth Proportional to 972.41, 1,338.64 and 878.87

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Solution

The fourth proportional to 972.41, 1,338.64 and 878.87 is: 1,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.41 : 1,338.64 = 878.87 : x
  2. Step 2: Convert to fraction form
    972.41/1,338.64 = 878.87/x
  3. Step 3: Cross multiply
    972.41x = 1,338.64 × 878.87
  4. Step 4: Simplify right side
    972.41x = 1,176,489.10
  5. Step 5: Solve for x
    x = 1,176,489.10/972.41
  6. Step 6: Final answer
    x = 1,209.88

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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.