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Finding the Fourth Proportional to 951.10, 1,419.42 and 926.49

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Solution

The fourth proportional to 951.10, 1,419.42 and 926.49 is: 1,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.10 : 1,419.42 = 926.49 : x
  2. Step 2: Convert to fraction form
    951.10/1,419.42 = 926.49/x
  3. Step 3: Cross multiply
    951.10x = 1,419.42 × 926.49
  4. Step 4: Simplify right side
    951.10x = 1,315,078.44
  5. Step 5: Solve for x
    x = 1,315,078.44/951.10
  6. Step 6: Final answer
    x = 1,382.69

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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.