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Finding the Fourth Proportional to 974.03, 1,343.46 and 619.61

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Solution

The fourth proportional to 974.03, 1,343.46 and 619.61 is: 854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.03 : 1,343.46 = 619.61 : x
  2. Step 2: Convert to fraction form
    974.03/1,343.46 = 619.61/x
  3. Step 3: Cross multiply
    974.03x = 1,343.46 × 619.61
  4. Step 4: Simplify right side
    974.03x = 832,414.53
  5. Step 5: Solve for x
    x = 832,414.53/974.03
  6. Step 6: Final answer
    x = 854.61

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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.