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Finding the Fourth Proportional to 696.20, 1,039.23 and 664.61

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Solution

The fourth proportional to 696.20, 1,039.23 and 664.61 is: 992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.20 : 1,039.23 = 664.61 : x
  2. Step 2: Convert to fraction form
    696.20/1,039.23 = 664.61/x
  3. Step 3: Cross multiply
    696.20x = 1,039.23 × 664.61
  4. Step 4: Simplify right side
    696.20x = 690,677.45
  5. Step 5: Solve for x
    x = 690,677.45/696.20
  6. Step 6: Final answer
    x = 992.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.