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Finding the Fourth Proportional to 412.23, 567.18 and 401.43

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Solution

The fourth proportional to 412.23, 567.18 and 401.43 is: 552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.23 : 567.18 = 401.43 : x
  2. Step 2: Convert to fraction form
    412.23/567.18 = 401.43/x
  3. Step 3: Cross multiply
    412.23x = 567.18 × 401.43
  4. Step 4: Simplify right side
    412.23x = 227,683.07
  5. Step 5: Solve for x
    x = 227,683.07/412.23
  6. Step 6: Final answer
    x = 552.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.