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Finding the Fourth Proportional to 1,422.67, 2,134 and 642.95

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Solution

The fourth proportional to 1,422.67, 2,134 and 642.95 is: 964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.67 : 2,134 = 642.95 : x
  2. Step 2: Convert to fraction form
    1,422.67/2,134 = 642.95/x
  3. Step 3: Cross multiply
    1,422.67x = 2,134 × 642.95
  4. Step 4: Simplify right side
    1,422.67x = 1,372,044.63
  5. Step 5: Solve for x
    x = 1,372,044.63/1,422.67
  6. Step 6: Final answer
    x = 964.42

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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.