Home / 1,233.28-1,701.36-834.80

Finding the Fourth Proportional to 1,233.28, 1,701.36 and 834.80

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Solution

The fourth proportional to 1,233.28, 1,701.36 and 834.80 is: 1,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.28 : 1,701.36 = 834.80 : x
  2. Step 2: Convert to fraction form
    1,233.28/1,701.36 = 834.80/x
  3. Step 3: Cross multiply
    1,233.28x = 1,701.36 × 834.80
  4. Step 4: Simplify right side
    1,233.28x = 1,420,295.33
  5. Step 5: Solve for x
    x = 1,420,295.33/1,233.28
  6. Step 6: Final answer
    x = 1,151.64

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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.