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Finding the Fourth Proportional to 1,339.34, 2,009.32 and 517.90

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Solution

The fourth proportional to 1,339.34, 2,009.32 and 517.90 is: 776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.34 : 2,009.32 = 517.90 : x
  2. Step 2: Convert to fraction form
    1,339.34/2,009.32 = 517.90/x
  3. Step 3: Cross multiply
    1,339.34x = 2,009.32 × 517.90
  4. Step 4: Simplify right side
    1,339.34x = 1,040,626.83
  5. Step 5: Solve for x
    x = 1,040,626.83/1,339.34
  6. Step 6: Final answer
    x = 776.97

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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.