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Finding the Fourth Proportional to 406.25, 564.42 and 401.39

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Solution

The fourth proportional to 406.25, 564.42 and 401.39 is: 557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.25 : 564.42 = 401.39 : x
  2. Step 2: Convert to fraction form
    406.25/564.42 = 401.39/x
  3. Step 3: Cross multiply
    406.25x = 564.42 × 401.39
  4. Step 4: Simplify right side
    406.25x = 226,549.72
  5. Step 5: Solve for x
    x = 226,549.72/406.25
  6. Step 6: Final answer
    x = 557.67

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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.