Home / 1,131.28-1,694.16-976.48

Finding the Fourth Proportional to 1,131.28, 1,694.16 and 976.48

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Solution

The fourth proportional to 1,131.28, 1,694.16 and 976.48 is: 1,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.28 : 1,694.16 = 976.48 : x
  2. Step 2: Convert to fraction form
    1,131.28/1,694.16 = 976.48/x
  3. Step 3: Cross multiply
    1,131.28x = 1,694.16 × 976.48
  4. Step 4: Simplify right side
    1,131.28x = 1,654,313.36
  5. Step 5: Solve for x
    x = 1,654,313.36/1,131.28
  6. Step 6: Final answer
    x = 1,462.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.