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Finding the Fourth Proportional to 1,208.44, 1,667.45 and 677.18

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Solution

The fourth proportional to 1,208.44, 1,667.45 and 677.18 is: 934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.44 : 1,667.45 = 677.18 : x
  2. Step 2: Convert to fraction form
    1,208.44/1,667.45 = 677.18/x
  3. Step 3: Cross multiply
    1,208.44x = 1,667.45 × 677.18
  4. Step 4: Simplify right side
    1,208.44x = 1,129,163.79
  5. Step 5: Solve for x
    x = 1,129,163.79/1,208.44
  6. Step 6: Final answer
    x = 934.40

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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.