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Finding the Fourth Proportional to 1,226.05, 1,691.32 and 783.49

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Solution

The fourth proportional to 1,226.05, 1,691.32 and 783.49 is: 1,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.05 : 1,691.32 = 783.49 : x
  2. Step 2: Convert to fraction form
    1,226.05/1,691.32 = 783.49/x
  3. Step 3: Cross multiply
    1,226.05x = 1,691.32 × 783.49
  4. Step 4: Simplify right side
    1,226.05x = 1,325,132.31
  5. Step 5: Solve for x
    x = 1,325,132.31/1,226.05
  6. Step 6: Final answer
    x = 1,080.81

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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.