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Finding the Fourth Proportional to 1,337.71, 2,006.21 and 515.83

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Solution

The fourth proportional to 1,337.71, 2,006.21 and 515.83 is: 773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.71 : 2,006.21 = 515.83 : x
  2. Step 2: Convert to fraction form
    1,337.71/2,006.21 = 515.83/x
  3. Step 3: Cross multiply
    1,337.71x = 2,006.21 × 515.83
  4. Step 4: Simplify right side
    1,337.71x = 1,034,860.73
  5. Step 5: Solve for x
    x = 1,034,860.73/1,337.71
  6. Step 6: Final answer
    x = 773.61

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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.