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Finding the Fourth Proportional to 1,337.77, 2,006.67 and 363.89

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Solution

The fourth proportional to 1,337.77, 2,006.67 and 363.89 is: 545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.77 : 2,006.67 = 363.89 : x
  2. Step 2: Convert to fraction form
    1,337.77/2,006.67 = 363.89/x
  3. Step 3: Cross multiply
    1,337.77x = 2,006.67 × 363.89
  4. Step 4: Simplify right side
    1,337.77x = 730,213.53
  5. Step 5: Solve for x
    x = 730,213.53/1,337.77
  6. Step 6: Final answer
    x = 545.85

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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.