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Finding the Fourth Proportional to 1,177.96, 1,626.78 and 847.12

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Solution

The fourth proportional to 1,177.96, 1,626.78 and 847.12 is: 1,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.96 : 1,626.78 = 847.12 : x
  2. Step 2: Convert to fraction form
    1,177.96/1,626.78 = 847.12/x
  3. Step 3: Cross multiply
    1,177.96x = 1,626.78 × 847.12
  4. Step 4: Simplify right side
    1,177.96x = 1,378,077.87
  5. Step 5: Solve for x
    x = 1,378,077.87/1,177.96
  6. Step 6: Final answer
    x = 1,169.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.