Home / 1,156.14-1,731.78-540.34

Finding the Fourth Proportional to 1,156.14, 1,731.78 and 540.34

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Solution

The fourth proportional to 1,156.14, 1,731.78 and 540.34 is: 809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.14 : 1,731.78 = 540.34 : x
  2. Step 2: Convert to fraction form
    1,156.14/1,731.78 = 540.34/x
  3. Step 3: Cross multiply
    1,156.14x = 1,731.78 × 540.34
  4. Step 4: Simplify right side
    1,156.14x = 935,745.68
  5. Step 5: Solve for x
    x = 935,745.68/1,156.14
  6. Step 6: Final answer
    x = 809.37

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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.