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Finding the Fourth Proportional to 1,340.45, 2,009.96 and 517.89

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Solution

The fourth proportional to 1,340.45, 2,009.96 and 517.89 is: 776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.45 : 2,009.96 = 517.89 : x
  2. Step 2: Convert to fraction form
    1,340.45/2,009.96 = 517.89/x
  3. Step 3: Cross multiply
    1,340.45x = 2,009.96 × 517.89
  4. Step 4: Simplify right side
    1,340.45x = 1,040,938.18
  5. Step 5: Solve for x
    x = 1,040,938.18/1,340.45
  6. Step 6: Final answer
    x = 776.56

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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.