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Finding the Fourth Proportional to 2,411.52, 3,617.42 and 680

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Solution

The fourth proportional to 2,411.52, 3,617.42 and 680 is: 1,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.52 : 3,617.42 = 680 : x
  2. Step 2: Convert to fraction form
    2,411.52/3,617.42 = 680/x
  3. Step 3: Cross multiply
    2,411.52x = 3,617.42 × 680
  4. Step 4: Simplify right side
    2,411.52x = 2,459,845.60
  5. Step 5: Solve for x
    x = 2,459,845.60/2,411.52
  6. Step 6: Final answer
    x = 1,020.04

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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.