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Finding the Fourth Proportional to 410.63, 615.86 and 122

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Solution

The fourth proportional to 410.63, 615.86 and 122 is: 182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.63 : 615.86 = 122 : x
  2. Step 2: Convert to fraction form
    410.63/615.86 = 122/x
  3. Step 3: Cross multiply
    410.63x = 615.86 × 122
  4. Step 4: Simplify right side
    410.63x = 75,134.92
  5. Step 5: Solve for x
    x = 75,134.92/410.63
  6. Step 6: Final answer
    x = 182.97

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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.