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Finding the Fourth Proportional to 755.46, 1,133.67 and 322.61

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Solution

The fourth proportional to 755.46, 1,133.67 and 322.61 is: 484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.46 : 1,133.67 = 322.61 : x
  2. Step 2: Convert to fraction form
    755.46/1,133.67 = 322.61/x
  3. Step 3: Cross multiply
    755.46x = 1,133.67 × 322.61
  4. Step 4: Simplify right side
    755.46x = 365,731.67
  5. Step 5: Solve for x
    x = 365,731.67/755.46
  6. Step 6: Final answer
    x = 484.12

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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.