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Finding the Fourth Proportional to 405.73, 563.66 and 401.94

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Solution

The fourth proportional to 405.73, 563.66 and 401.94 is: 558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.73 : 563.66 = 401.94 : x
  2. Step 2: Convert to fraction form
    405.73/563.66 = 401.94/x
  3. Step 3: Cross multiply
    405.73x = 563.66 × 401.94
  4. Step 4: Simplify right side
    405.73x = 226,557.50
  5. Step 5: Solve for x
    x = 226,557.50/405.73
  6. Step 6: Final answer
    x = 558.39

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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.