Home / 1,102.33-1,519.66-787.51

Finding the Fourth Proportional to 1,102.33, 1,519.66 and 787.51

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Solution

The fourth proportional to 1,102.33, 1,519.66 and 787.51 is: 1,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.33 : 1,519.66 = 787.51 : x
  2. Step 2: Convert to fraction form
    1,102.33/1,519.66 = 787.51/x
  3. Step 3: Cross multiply
    1,102.33x = 1,519.66 × 787.51
  4. Step 4: Simplify right side
    1,102.33x = 1,196,747.45
  5. Step 5: Solve for x
    x = 1,196,747.45/1,102.33
  6. Step 6: Final answer
    x = 1,085.65

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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.