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Finding the Fourth Proportional to 1,201.54, 1,659.60 and 869.44

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Solution

The fourth proportional to 1,201.54, 1,659.60 and 869.44 is: 1,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.54 : 1,659.60 = 869.44 : x
  2. Step 2: Convert to fraction form
    1,201.54/1,659.60 = 869.44/x
  3. Step 3: Cross multiply
    1,201.54x = 1,659.60 × 869.44
  4. Step 4: Simplify right side
    1,201.54x = 1,442,922.62
  5. Step 5: Solve for x
    x = 1,442,922.62/1,201.54
  6. Step 6: Final answer
    x = 1,200.89

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1.5x scale

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.