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Finding the Fourth Proportional to 983.73, 1,358.25 and 611.22

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Solution

The fourth proportional to 983.73, 1,358.25 and 611.22 is: 843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.73 : 1,358.25 = 611.22 : x
  2. Step 2: Convert to fraction form
    983.73/1,358.25 = 611.22/x
  3. Step 3: Cross multiply
    983.73x = 1,358.25 × 611.22
  4. Step 4: Simplify right side
    983.73x = 830,189.57
  5. Step 5: Solve for x
    x = 830,189.57/983.73
  6. Step 6: Final answer
    x = 843.92

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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.