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Finding the Fourth Proportional to 974.73, 1,460.20 and 870.87

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Solution

The fourth proportional to 974.73, 1,460.20 and 870.87 is: 1,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.73 : 1,460.20 = 870.87 : x
  2. Step 2: Convert to fraction form
    974.73/1,460.20 = 870.87/x
  3. Step 3: Cross multiply
    974.73x = 1,460.20 × 870.87
  4. Step 4: Simplify right side
    974.73x = 1,271,644.37
  5. Step 5: Solve for x
    x = 1,271,644.37/974.73
  6. Step 6: Final answer
    x = 1,304.61

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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.