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Finding the Fourth Proportional to 1,988.30, 2,983.82 and 689.77

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Solution

The fourth proportional to 1,988.30, 2,983.82 and 689.77 is: 1,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.30 : 2,983.82 = 689.77 : x
  2. Step 2: Convert to fraction form
    1,988.30/2,983.82 = 689.77/x
  3. Step 3: Cross multiply
    1,988.30x = 2,983.82 × 689.77
  4. Step 4: Simplify right side
    1,988.30x = 2,058,133.02
  5. Step 5: Solve for x
    x = 2,058,133.02/1,988.30
  6. Step 6: Final answer
    x = 1,035.12

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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.