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Finding the Fourth Proportional to 1,201.79, 1,656.68 and 869.69

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Solution

The fourth proportional to 1,201.79, 1,656.68 and 869.69 is: 1,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.79 : 1,656.68 = 869.69 : x
  2. Step 2: Convert to fraction form
    1,201.79/1,656.68 = 869.69/x
  3. Step 3: Cross multiply
    1,201.79x = 1,656.68 × 869.69
  4. Step 4: Simplify right side
    1,201.79x = 1,440,785.40
  5. Step 5: Solve for x
    x = 1,440,785.40/1,201.79
  6. Step 6: Final answer
    x = 1,198.87

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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.