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Finding the Fourth Proportional to 974.68, 1,456.63 and 873.16

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Solution

The fourth proportional to 974.68, 1,456.63 and 873.16 is: 1,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.68 : 1,456.63 = 873.16 : x
  2. Step 2: Convert to fraction form
    974.68/1,456.63 = 873.16/x
  3. Step 3: Cross multiply
    974.68x = 1,456.63 × 873.16
  4. Step 4: Simplify right side
    974.68x = 1,271,871.05
  5. Step 5: Solve for x
    x = 1,271,871.05/974.68
  6. Step 6: Final answer
    x = 1,304.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.