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Finding the Fourth Proportional to 974.06, 1,468.43 and 911.42

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Solution

The fourth proportional to 974.06, 1,468.43 and 911.42 is: 1,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.06 : 1,468.43 = 911.42 : x
  2. Step 2: Convert to fraction form
    974.06/1,468.43 = 911.42/x
  3. Step 3: Cross multiply
    974.06x = 1,468.43 × 911.42
  4. Step 4: Simplify right side
    974.06x = 1,338,344.57
  5. Step 5: Solve for x
    x = 1,338,344.57/974.06
  6. Step 6: Final answer
    x = 1,373.99

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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.