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Finding the Fourth Proportional to 949.84, 1,422.36 and 641.36

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Solution

The fourth proportional to 949.84, 1,422.36 and 641.36 is: 960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.84 : 1,422.36 = 641.36 : x
  2. Step 2: Convert to fraction form
    949.84/1,422.36 = 641.36/x
  3. Step 3: Cross multiply
    949.84x = 1,422.36 × 641.36
  4. Step 4: Simplify right side
    949.84x = 912,244.81
  5. Step 5: Solve for x
    x = 912,244.81/949.84
  6. Step 6: Final answer
    x = 960.42

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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.