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Finding the Fourth Proportional to 951.78, 1,423.89 and 847.86

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Solution

The fourth proportional to 951.78, 1,423.89 and 847.86 is: 1,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.78 : 1,423.89 = 847.86 : x
  2. Step 2: Convert to fraction form
    951.78/1,423.89 = 847.86/x
  3. Step 3: Cross multiply
    951.78x = 1,423.89 × 847.86
  4. Step 4: Simplify right side
    951.78x = 1,207,259.38
  5. Step 5: Solve for x
    x = 1,207,259.38/951.78
  6. Step 6: Final answer
    x = 1,268.42

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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.