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Finding the Fourth Proportional to 1,039.76, 1,436.08 and 689.84

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Solution

The fourth proportional to 1,039.76, 1,436.08 and 689.84 is: 952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.76 : 1,436.08 = 689.84 : x
  2. Step 2: Convert to fraction form
    1,039.76/1,436.08 = 689.84/x
  3. Step 3: Cross multiply
    1,039.76x = 1,436.08 × 689.84
  4. Step 4: Simplify right side
    1,039.76x = 990,665.43
  5. Step 5: Solve for x
    x = 990,665.43/1,039.76
  6. Step 6: Final answer
    x = 952.78

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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.