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Finding the Fourth Proportional to 950.14, 1,422.78 and 538.66

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Solution

The fourth proportional to 950.14, 1,422.78 and 538.66 is: 806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.14 : 1,422.78 = 538.66 : x
  2. Step 2: Convert to fraction form
    950.14/1,422.78 = 538.66/x
  3. Step 3: Cross multiply
    950.14x = 1,422.78 × 538.66
  4. Step 4: Simplify right side
    950.14x = 766,394.67
  5. Step 5: Solve for x
    x = 766,394.67/950.14
  6. Step 6: Final answer
    x = 806.61

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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.