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Finding the Fourth Proportional to 974.16, 1,338.84 and 925.56

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Solution

The fourth proportional to 974.16, 1,338.84 and 925.56 is: 1,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.16 : 1,338.84 = 925.56 : x
  2. Step 2: Convert to fraction form
    974.16/1,338.84 = 925.56/x
  3. Step 3: Cross multiply
    974.16x = 1,338.84 × 925.56
  4. Step 4: Simplify right side
    974.16x = 1,239,176.75
  5. Step 5: Solve for x
    x = 1,239,176.75/974.16
  6. Step 6: Final answer
    x = 1,272.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.