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Finding the Fourth Proportional to 681.04, 1,020.38 and 642.04

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Solution

The fourth proportional to 681.04, 1,020.38 and 642.04 is: 961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.04 : 1,020.38 = 642.04 : x
  2. Step 2: Convert to fraction form
    681.04/1,020.38 = 642.04/x
  3. Step 3: Cross multiply
    681.04x = 1,020.38 × 642.04
  4. Step 4: Simplify right side
    681.04x = 655,124.78
  5. Step 5: Solve for x
    x = 655,124.78/681.04
  6. Step 6: Final answer
    x = 961.95

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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.