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Finding the Fourth Proportional to 641.57, 962.21 and 294.81

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Solution

The fourth proportional to 641.57, 962.21 and 294.81 is: 442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.57 : 962.21 = 294.81 : x
  2. Step 2: Convert to fraction form
    641.57/962.21 = 294.81/x
  3. Step 3: Cross multiply
    641.57x = 962.21 × 294.81
  4. Step 4: Simplify right side
    641.57x = 283,667.66
  5. Step 5: Solve for x
    x = 283,667.66/641.57
  6. Step 6: Final answer
    x = 442.15

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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.