Home / 1,222.96-1,689.36-928.24

Finding the Fourth Proportional to 1,222.96, 1,689.36 and 928.24

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Solution

The fourth proportional to 1,222.96, 1,689.36 and 928.24 is: 1,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.96 : 1,689.36 = 928.24 : x
  2. Step 2: Convert to fraction form
    1,222.96/1,689.36 = 928.24/x
  3. Step 3: Cross multiply
    1,222.96x = 1,689.36 × 928.24
  4. Step 4: Simplify right side
    1,222.96x = 1,568,131.53
  5. Step 5: Solve for x
    x = 1,568,131.53/1,222.96
  6. Step 6: Final answer
    x = 1,282.24

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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.