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Finding the Fourth Proportional to 942.22, 1,411.78 and 325.61

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Solution

The fourth proportional to 942.22, 1,411.78 and 325.61 is: 487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.22 : 1,411.78 = 325.61 : x
  2. Step 2: Convert to fraction form
    942.22/1,411.78 = 325.61/x
  3. Step 3: Cross multiply
    942.22x = 1,411.78 × 325.61
  4. Step 4: Simplify right side
    942.22x = 459,689.69
  5. Step 5: Solve for x
    x = 459,689.69/942.22
  6. Step 6: Final answer
    x = 487.88

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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.