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Finding the Fourth Proportional to 951.70, 1,427.55 and 805.90

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Solution

The fourth proportional to 951.70, 1,427.55 and 805.90 is: 1,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.70 : 1,427.55 = 805.90 : x
  2. Step 2: Convert to fraction form
    951.70/1,427.55 = 805.90/x
  3. Step 3: Cross multiply
    951.70x = 1,427.55 × 805.90
  4. Step 4: Simplify right side
    951.70x = 1,150,462.55
  5. Step 5: Solve for x
    x = 1,150,462.55/951.70
  6. Step 6: Final answer
    x = 1,208.85

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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.