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Finding the Fourth Proportional to 699.28, 1,041.32 and 691.61

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Solution

The fourth proportional to 699.28, 1,041.32 and 691.61 is: 1,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.28 : 1,041.32 = 691.61 : x
  2. Step 2: Convert to fraction form
    699.28/1,041.32 = 691.61/x
  3. Step 3: Cross multiply
    699.28x = 1,041.32 × 691.61
  4. Step 4: Simplify right side
    699.28x = 720,187.33
  5. Step 5: Solve for x
    x = 720,187.33/699.28
  6. Step 6: Final answer
    x = 1,029.90

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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.