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Finding the Fourth Proportional to 734.73, 1,102.50 and 301.92

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Solution

The fourth proportional to 734.73, 1,102.50 and 301.92 is: 453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.73 : 1,102.50 = 301.92 : x
  2. Step 2: Convert to fraction form
    734.73/1,102.50 = 301.92/x
  3. Step 3: Cross multiply
    734.73x = 1,102.50 × 301.92
  4. Step 4: Simplify right side
    734.73x = 332,866.80
  5. Step 5: Solve for x
    x = 332,866.80/734.73
  6. Step 6: Final answer
    x = 453.05

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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.