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Finding the Fourth Proportional to 1,778.40, 2,667.60 and 545.66

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Solution

The fourth proportional to 1,778.40, 2,667.60 and 545.66 is: 818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.40 : 2,667.60 = 545.66 : x
  2. Step 2: Convert to fraction form
    1,778.40/2,667.60 = 545.66/x
  3. Step 3: Cross multiply
    1,778.40x = 2,667.60 × 545.66
  4. Step 4: Simplify right side
    1,778.40x = 1,455,589.28
  5. Step 5: Solve for x
    x = 1,455,589.28/1,778.40
  6. Step 6: Final answer
    x = 818.48

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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.