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Finding the Fourth Proportional to 2,267.78, 3,401.69 and 686.51

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Solution

The fourth proportional to 2,267.78, 3,401.69 and 686.51 is: 1,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.78 : 3,401.69 = 686.51 : x
  2. Step 2: Convert to fraction form
    2,267.78/3,401.69 = 686.51/x
  3. Step 3: Cross multiply
    2,267.78x = 3,401.69 × 686.51
  4. Step 4: Simplify right side
    2,267.78x = 2,335,294.20
  5. Step 5: Solve for x
    x = 2,335,294.20/2,267.78
  6. Step 6: Final answer
    x = 1,029.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.