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Finding the Fourth Proportional to 974.53, 1,467.63 and 854.25

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Solution

The fourth proportional to 974.53, 1,467.63 and 854.25 is: 1,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.53 : 1,467.63 = 854.25 : x
  2. Step 2: Convert to fraction form
    974.53/1,467.63 = 854.25/x
  3. Step 3: Cross multiply
    974.53x = 1,467.63 × 854.25
  4. Step 4: Simplify right side
    974.53x = 1,253,722.93
  5. Step 5: Solve for x
    x = 1,253,722.93/974.53
  6. Step 6: Final answer
    x = 1,286.49

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1.5x scale

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.