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Finding the Fourth Proportional to 2,391.39, 3,586.68 and 660.02

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Solution

The fourth proportional to 2,391.39, 3,586.68 and 660.02 is: 989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.39 : 3,586.68 = 660.02 : x
  2. Step 2: Convert to fraction form
    2,391.39/3,586.68 = 660.02/x
  3. Step 3: Cross multiply
    2,391.39x = 3,586.68 × 660.02
  4. Step 4: Simplify right side
    2,391.39x = 2,367,262.60
  5. Step 5: Solve for x
    x = 2,367,262.60/2,391.39
  6. Step 6: Final answer
    x = 989.91

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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.