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Finding the Fourth Proportional to 983.22, 1,357.19 and 689.35

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Solution

The fourth proportional to 983.22, 1,357.19 and 689.35 is: 951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.22 : 1,357.19 = 689.35 : x
  2. Step 2: Convert to fraction form
    983.22/1,357.19 = 689.35/x
  3. Step 3: Cross multiply
    983.22x = 1,357.19 × 689.35
  4. Step 4: Simplify right side
    983.22x = 935,578.93
  5. Step 5: Solve for x
    x = 935,578.93/983.22
  6. Step 6: Final answer
    x = 951.55

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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.