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Finding the Fourth Proportional to 531.90, 733.41 and 401.22

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Solution

The fourth proportional to 531.90, 733.41 and 401.22 is: 553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.90 : 733.41 = 401.22 : x
  2. Step 2: Convert to fraction form
    531.90/733.41 = 401.22/x
  3. Step 3: Cross multiply
    531.90x = 733.41 × 401.22
  4. Step 4: Simplify right side
    531.90x = 294,258.76
  5. Step 5: Solve for x
    x = 294,258.76/531.90
  6. Step 6: Final answer
    x = 553.22

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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.