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Finding the Fourth Proportional to 902.23, 1,353.49 and 346.90

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Solution

The fourth proportional to 902.23, 1,353.49 and 346.90 is: 520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.23 : 1,353.49 = 346.90 : x
  2. Step 2: Convert to fraction form
    902.23/1,353.49 = 346.90/x
  3. Step 3: Cross multiply
    902.23x = 1,353.49 × 346.90
  4. Step 4: Simplify right side
    902.23x = 469,525.68
  5. Step 5: Solve for x
    x = 469,525.68/902.23
  6. Step 6: Final answer
    x = 520.41

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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.