Home / 1,320.24-1,821.78-760.60

Finding the Fourth Proportional to 1,320.24, 1,821.78 and 760.60

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Solution

The fourth proportional to 1,320.24, 1,821.78 and 760.60 is: 1,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.24 : 1,821.78 = 760.60 : x
  2. Step 2: Convert to fraction form
    1,320.24/1,821.78 = 760.60/x
  3. Step 3: Cross multiply
    1,320.24x = 1,821.78 × 760.60
  4. Step 4: Simplify right side
    1,320.24x = 1,385,645.87
  5. Step 5: Solve for x
    x = 1,385,645.87/1,320.24
  6. Step 6: Final answer
    x = 1,049.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.