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Finding the Fourth Proportional to 641.89, 962.83 and 154.94

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Solution

The fourth proportional to 641.89, 962.83 and 154.94 is: 232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.89 : 962.83 = 154.94 : x
  2. Step 2: Convert to fraction form
    641.89/962.83 = 154.94/x
  3. Step 3: Cross multiply
    641.89x = 962.83 × 154.94
  4. Step 4: Simplify right side
    641.89x = 149,175.29
  5. Step 5: Solve for x
    x = 149,175.29/641.89
  6. Step 6: Final answer
    x = 232.40

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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.