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Finding the Fourth Proportional to 755.66, 1,133.18 and 293.24

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Solution

The fourth proportional to 755.66, 1,133.18 and 293.24 is: 439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.66 : 1,133.18 = 293.24 : x
  2. Step 2: Convert to fraction form
    755.66/1,133.18 = 293.24/x
  3. Step 3: Cross multiply
    755.66x = 1,133.18 × 293.24
  4. Step 4: Simplify right side
    755.66x = 332,293.70
  5. Step 5: Solve for x
    x = 332,293.70/755.66
  6. Step 6: Final answer
    x = 439.74

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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.