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Finding the Fourth Proportional to 1,421.45, 2,132.27 and 641.27

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Solution

The fourth proportional to 1,421.45, 2,132.27 and 641.27 is: 961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.45 : 2,132.27 = 641.27 : x
  2. Step 2: Convert to fraction form
    1,421.45/2,132.27 = 641.27/x
  3. Step 3: Cross multiply
    1,421.45x = 2,132.27 × 641.27
  4. Step 4: Simplify right side
    1,421.45x = 1,367,356.93
  5. Step 5: Solve for x
    x = 1,367,356.93/1,421.45
  6. Step 6: Final answer
    x = 961.95

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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.