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Finding the Fourth Proportional to 1,778.20, 2,667.68 and 545.70

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Solution

The fourth proportional to 1,778.20, 2,667.68 and 545.70 is: 818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.20 : 2,667.68 = 545.70 : x
  2. Step 2: Convert to fraction form
    1,778.20/2,667.68 = 545.70/x
  3. Step 3: Cross multiply
    1,778.20x = 2,667.68 × 545.70
  4. Step 4: Simplify right side
    1,778.20x = 1,455,752.98
  5. Step 5: Solve for x
    x = 1,455,752.98/1,778.20
  6. Step 6: Final answer
    x = 818.67

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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.