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Finding the Fourth Proportional to 1,382.79, 1,906.25 and 989.13

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Solution

The fourth proportional to 1,382.79, 1,906.25 and 989.13 is: 1,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.79 : 1,906.25 = 989.13 : x
  2. Step 2: Convert to fraction form
    1,382.79/1,906.25 = 989.13/x
  3. Step 3: Cross multiply
    1,382.79x = 1,906.25 × 989.13
  4. Step 4: Simplify right side
    1,382.79x = 1,885,524.12
  5. Step 5: Solve for x
    x = 1,885,524.12/1,382.79
  6. Step 6: Final answer
    x = 1,363.57

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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.