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Finding the Fourth Proportional to 2,392.26, 3,588.42 and 660.78

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Solution

The fourth proportional to 2,392.26, 3,588.42 and 660.78 is: 991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.26 : 3,588.42 = 660.78 : x
  2. Step 2: Convert to fraction form
    2,392.26/3,588.42 = 660.78/x
  3. Step 3: Cross multiply
    2,392.26x = 3,588.42 × 660.78
  4. Step 4: Simplify right side
    2,392.26x = 2,371,156.17
  5. Step 5: Solve for x
    x = 2,371,156.17/2,392.26
  6. Step 6: Final answer
    x = 991.18

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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.