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Finding the Fourth Proportional to 950.71, 1,425.38 and 641.80

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Solution

The fourth proportional to 950.71, 1,425.38 and 641.80 is: 962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.71 : 1,425.38 = 641.80 : x
  2. Step 2: Convert to fraction form
    950.71/1,425.38 = 641.80/x
  3. Step 3: Cross multiply
    950.71x = 1,425.38 × 641.80
  4. Step 4: Simplify right side
    950.71x = 914,810.84
  5. Step 5: Solve for x
    x = 914,810.84/950.71
  6. Step 6: Final answer
    x = 962.24

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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.