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Finding the Fourth Proportional to 485.11, 724.42 and 381.23

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Solution

The fourth proportional to 485.11, 724.42 and 381.23 is: 569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.11 : 724.42 = 381.23 : x
  2. Step 2: Convert to fraction form
    485.11/724.42 = 381.23/x
  3. Step 3: Cross multiply
    485.11x = 724.42 × 381.23
  4. Step 4: Simplify right side
    485.11x = 276,170.64
  5. Step 5: Solve for x
    x = 276,170.64/485.11
  6. Step 6: Final answer
    x = 569.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.