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Finding the Fourth Proportional to 951.60, 1,427.40 and 805.80

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Solution

The fourth proportional to 951.60, 1,427.40 and 805.80 is: 1,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.60 : 1,427.40 = 805.80 : x
  2. Step 2: Convert to fraction form
    951.60/1,427.40 = 805.80/x
  3. Step 3: Cross multiply
    951.60x = 1,427.40 × 805.80
  4. Step 4: Simplify right side
    951.60x = 1,150,198.92
  5. Step 5: Solve for x
    x = 1,150,198.92/951.60
  6. Step 6: Final answer
    x = 1,208.70

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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.