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Finding the Fourth Proportional to 405.45, 563.40 and 401.22

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Solution

The fourth proportional to 405.45, 563.40 and 401.22 is: 557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.45 : 563.40 = 401.22 : x
  2. Step 2: Convert to fraction form
    405.45/563.40 = 401.22/x
  3. Step 3: Cross multiply
    405.45x = 563.40 × 401.22
  4. Step 4: Simplify right side
    405.45x = 226,047.35
  5. Step 5: Solve for x
    x = 226,047.35/405.45
  6. Step 6: Final answer
    x = 557.52

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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.