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Finding the Fourth Proportional to 541.56, 815.07 and 405.33

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Solution

The fourth proportional to 541.56, 815.07 and 405.33 is: 610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.56 : 815.07 = 405.33 : x
  2. Step 2: Convert to fraction form
    541.56/815.07 = 405.33/x
  3. Step 3: Cross multiply
    541.56x = 815.07 × 405.33
  4. Step 4: Simplify right side
    541.56x = 330,372.32
  5. Step 5: Solve for x
    x = 330,372.32/541.56
  6. Step 6: Final answer
    x = 610.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.