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Finding the Fourth Proportional to 1,988.31, 2,983.02 and 689.61

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Solution

The fourth proportional to 1,988.31, 2,983.02 and 689.61 is: 1,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.31 : 2,983.02 = 689.61 : x
  2. Step 2: Convert to fraction form
    1,988.31/2,983.02 = 689.61/x
  3. Step 3: Cross multiply
    1,988.31x = 2,983.02 × 689.61
  4. Step 4: Simplify right side
    1,988.31x = 2,057,120.42
  5. Step 5: Solve for x
    x = 2,057,120.42/1,988.31
  6. Step 6: Final answer
    x = 1,034.61

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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.