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Finding the Fourth Proportional to 641.93, 959.38 and 468.96

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Solution

The fourth proportional to 641.93, 959.38 and 468.96 is: 700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.93 : 959.38 = 468.96 : x
  2. Step 2: Convert to fraction form
    641.93/959.38 = 468.96/x
  3. Step 3: Cross multiply
    641.93x = 959.38 × 468.96
  4. Step 4: Simplify right side
    641.93x = 449,910.84
  5. Step 5: Solve for x
    x = 449,910.84/641.93
  6. Step 6: Final answer
    x = 700.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.