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Finding the Fourth Proportional to 1,208.62, 1,667.84 and 677.44

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Solution

The fourth proportional to 1,208.62, 1,667.84 and 677.44 is: 934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.62 : 1,667.84 = 677.44 : x
  2. Step 2: Convert to fraction form
    1,208.62/1,667.84 = 677.44/x
  3. Step 3: Cross multiply
    1,208.62x = 1,667.84 × 677.44
  4. Step 4: Simplify right side
    1,208.62x = 1,129,861.53
  5. Step 5: Solve for x
    x = 1,129,861.53/1,208.62
  6. Step 6: Final answer
    x = 934.84

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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.