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Finding the Fourth Proportional to 894.41, 1,341.61 and 381.41

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Solution

The fourth proportional to 894.41, 1,341.61 and 381.41 is: 572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.41 : 1,341.61 = 381.41 : x
  2. Step 2: Convert to fraction form
    894.41/1,341.61 = 381.41/x
  3. Step 3: Cross multiply
    894.41x = 1,341.61 × 381.41
  4. Step 4: Simplify right side
    894.41x = 511,696.76
  5. Step 5: Solve for x
    x = 511,696.76/894.41
  6. Step 6: Final answer
    x = 572.11

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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.