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Finding the Fourth Proportional to 813.44, 1,220.31 and 401.55

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Solution

The fourth proportional to 813.44, 1,220.31 and 401.55 is: 602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.44 : 1,220.31 = 401.55 : x
  2. Step 2: Convert to fraction form
    813.44/1,220.31 = 401.55/x
  3. Step 3: Cross multiply
    813.44x = 1,220.31 × 401.55
  4. Step 4: Simplify right side
    813.44x = 490,020.06
  5. Step 5: Solve for x
    x = 490,020.06/813.44
  6. Step 6: Final answer
    x = 602.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.