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Finding the Fourth Proportional to 869.52, 1,199 and 660.08

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Solution

The fourth proportional to 869.52, 1,199 and 660.08 is: 910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.52 : 1,199 = 660.08 : x
  2. Step 2: Convert to fraction form
    869.52/1,199 = 660.08/x
  3. Step 3: Cross multiply
    869.52x = 1,199 × 660.08
  4. Step 4: Simplify right side
    869.52x = 791,435.92
  5. Step 5: Solve for x
    x = 791,435.92/869.52
  6. Step 6: Final answer
    x = 910.20

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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.