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Finding the Fourth Proportional to 406.45, 564.79 and 402.22

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Solution

The fourth proportional to 406.45, 564.79 and 402.22 is: 558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.45 : 564.79 = 402.22 : x
  2. Step 2: Convert to fraction form
    406.45/564.79 = 402.22/x
  3. Step 3: Cross multiply
    406.45x = 564.79 × 402.22
  4. Step 4: Simplify right side
    406.45x = 227,169.83
  5. Step 5: Solve for x
    x = 227,169.83/406.45
  6. Step 6: Final answer
    x = 558.91

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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.