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Finding the Fourth Proportional to 1,240.79, 1,859.89 and 911.24

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Solution

The fourth proportional to 1,240.79, 1,859.89 and 911.24 is: 1,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.79 : 1,859.89 = 911.24 : x
  2. Step 2: Convert to fraction form
    1,240.79/1,859.89 = 911.24/x
  3. Step 3: Cross multiply
    1,240.79x = 1,859.89 × 911.24
  4. Step 4: Simplify right side
    1,240.79x = 1,694,798.09
  5. Step 5: Solve for x
    x = 1,694,798.09/1,240.79
  6. Step 6: Final answer
    x = 1,365.90

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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.