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Finding the Fourth Proportional to 1,339.05, 2,008.76 and 414.69

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Solution

The fourth proportional to 1,339.05, 2,008.76 and 414.69 is: 622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.05 : 2,008.76 = 414.69 : x
  2. Step 2: Convert to fraction form
    1,339.05/2,008.76 = 414.69/x
  3. Step 3: Cross multiply
    1,339.05x = 2,008.76 × 414.69
  4. Step 4: Simplify right side
    1,339.05x = 833,002.64
  5. Step 5: Solve for x
    x = 833,002.64/1,339.05
  6. Step 6: Final answer
    x = 622.09

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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.