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Finding the Fourth Proportional to 755.91, 1,134.47 and 293.90

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Solution

The fourth proportional to 755.91, 1,134.47 and 293.90 is: 441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.91 : 1,134.47 = 293.90 : x
  2. Step 2: Convert to fraction form
    755.91/1,134.47 = 293.90/x
  3. Step 3: Cross multiply
    755.91x = 1,134.47 × 293.90
  4. Step 4: Simplify right side
    755.91x = 333,420.73
  5. Step 5: Solve for x
    x = 333,420.73/755.91
  6. Step 6: Final answer
    x = 441.09

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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.