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Finding the Fourth Proportional to 2,391.75, 3,587.67 and 660.42

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Solution

The fourth proportional to 2,391.75, 3,587.67 and 660.42 is: 990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.75 : 3,587.67 = 660.42 : x
  2. Step 2: Convert to fraction form
    2,391.75/3,587.67 = 660.42/x
  3. Step 3: Cross multiply
    2,391.75x = 3,587.67 × 660.42
  4. Step 4: Simplify right side
    2,391.75x = 2,369,369.02
  5. Step 5: Solve for x
    x = 2,369,369.02/2,391.75
  6. Step 6: Final answer
    x = 990.64

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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.