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Finding the Fourth Proportional to 1,226.05, 1,691.74 and 694.91

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Solution

The fourth proportional to 1,226.05, 1,691.74 and 694.91 is: 958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.05 : 1,691.74 = 694.91 : x
  2. Step 2: Convert to fraction form
    1,226.05/1,691.74 = 694.91/x
  3. Step 3: Cross multiply
    1,226.05x = 1,691.74 × 694.91
  4. Step 4: Simplify right side
    1,226.05x = 1,175,607.04
  5. Step 5: Solve for x
    x = 1,175,607.04/1,226.05
  6. Step 6: Final answer
    x = 958.86

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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.