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Finding the Fourth Proportional to 951.69, 1,427.57 and 861.51

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Solution

The fourth proportional to 951.69, 1,427.57 and 861.51 is: 1,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.69 : 1,427.57 = 861.51 : x
  2. Step 2: Convert to fraction form
    951.69/1,427.57 = 861.51/x
  3. Step 3: Cross multiply
    951.69x = 1,427.57 × 861.51
  4. Step 4: Simplify right side
    951.69x = 1,229,865.83
  5. Step 5: Solve for x
    x = 1,229,865.83/951.69
  6. Step 6: Final answer
    x = 1,292.30

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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.