Home / 1,119.30-1,542.69-769.38

Finding the Fourth Proportional to 1,119.30, 1,542.69 and 769.38

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Solution

The fourth proportional to 1,119.30, 1,542.69 and 769.38 is: 1,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.30 : 1,542.69 = 769.38 : x
  2. Step 2: Convert to fraction form
    1,119.30/1,542.69 = 769.38/x
  3. Step 3: Cross multiply
    1,119.30x = 1,542.69 × 769.38
  4. Step 4: Simplify right side
    1,119.30x = 1,186,914.83
  5. Step 5: Solve for x
    x = 1,186,914.83/1,119.30
  6. Step 6: Final answer
    x = 1,060.41

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1.5x scale

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.