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Finding the Fourth Proportional to 902.23, 1,352.17 and 414.20

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Solution

The fourth proportional to 902.23, 1,352.17 and 414.20 is: 620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.23 : 1,352.17 = 414.20 : x
  2. Step 2: Convert to fraction form
    902.23/1,352.17 = 414.20/x
  3. Step 3: Cross multiply
    902.23x = 1,352.17 × 414.20
  4. Step 4: Simplify right side
    902.23x = 560,068.81
  5. Step 5: Solve for x
    x = 560,068.81/902.23
  6. Step 6: Final answer
    x = 620.76

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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.