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Finding the Fourth Proportional to 1,989.23, 2,983.88 and 690.74

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Solution

The fourth proportional to 1,989.23, 2,983.88 and 690.74 is: 1,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.23 : 2,983.88 = 690.74 : x
  2. Step 2: Convert to fraction form
    1,989.23/2,983.88 = 690.74/x
  3. Step 3: Cross multiply
    1,989.23x = 2,983.88 × 690.74
  4. Step 4: Simplify right side
    1,989.23x = 2,061,081.82
  5. Step 5: Solve for x
    x = 2,061,081.82/1,989.23
  6. Step 6: Final answer
    x = 1,036.12

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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.