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Finding the Fourth Proportional to 734.54, 1,101.45 and 409.82

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Solution

The fourth proportional to 734.54, 1,101.45 and 409.82 is: 614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.54 : 1,101.45 = 409.82 : x
  2. Step 2: Convert to fraction form
    734.54/1,101.45 = 409.82/x
  3. Step 3: Cross multiply
    734.54x = 1,101.45 × 409.82
  4. Step 4: Simplify right side
    734.54x = 451,396.24
  5. Step 5: Solve for x
    x = 451,396.24/734.54
  6. Step 6: Final answer
    x = 614.53

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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.