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Finding the Fourth Proportional to 641.15, 884.78 and 346.41

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Solution

The fourth proportional to 641.15, 884.78 and 346.41 is: 478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.15 : 884.78 = 346.41 : x
  2. Step 2: Convert to fraction form
    641.15/884.78 = 346.41/x
  3. Step 3: Cross multiply
    641.15x = 884.78 × 346.41
  4. Step 4: Simplify right side
    641.15x = 306,499.44
  5. Step 5: Solve for x
    x = 306,499.44/641.15
  6. Step 6: Final answer
    x = 478.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.