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Finding the Fourth Proportional to 405.76, 563.92 and 401.44

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Solution

The fourth proportional to 405.76, 563.92 and 401.44 is: 557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.76 : 563.92 = 401.44 : x
  2. Step 2: Convert to fraction form
    405.76/563.92 = 401.44/x
  3. Step 3: Cross multiply
    405.76x = 563.92 × 401.44
  4. Step 4: Simplify right side
    405.76x = 226,380.04
  5. Step 5: Solve for x
    x = 226,380.04/405.76
  6. Step 6: Final answer
    x = 557.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.