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Finding the Fourth Proportional to 872.41, 1,308.68 and 295.09

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Solution

The fourth proportional to 872.41, 1,308.68 and 295.09 is: 442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.41 : 1,308.68 = 295.09 : x
  2. Step 2: Convert to fraction form
    872.41/1,308.68 = 295.09/x
  3. Step 3: Cross multiply
    872.41x = 1,308.68 × 295.09
  4. Step 4: Simplify right side
    872.41x = 386,178.38
  5. Step 5: Solve for x
    x = 386,178.38/872.41
  6. Step 6: Final answer
    x = 442.66

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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.