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Finding the Fourth Proportional to 974.47, 1,344.22 and 619.78

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Solution

The fourth proportional to 974.47, 1,344.22 and 619.78 is: 854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.47 : 1,344.22 = 619.78 : x
  2. Step 2: Convert to fraction form
    974.47/1,344.22 = 619.78/x
  3. Step 3: Cross multiply
    974.47x = 1,344.22 × 619.78
  4. Step 4: Simplify right side
    974.47x = 833,120.67
  5. Step 5: Solve for x
    x = 833,120.67/974.47
  6. Step 6: Final answer
    x = 854.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.