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Finding the Fourth Proportional to 734.64, 1,101.92 and 409.28

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Solution

The fourth proportional to 734.64, 1,101.92 and 409.28 is: 613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.64 : 1,101.92 = 409.28 : x
  2. Step 2: Convert to fraction form
    734.64/1,101.92 = 409.28/x
  3. Step 3: Cross multiply
    734.64x = 1,101.92 × 409.28
  4. Step 4: Simplify right side
    734.64x = 450,993.82
  5. Step 5: Solve for x
    x = 450,993.82/734.64
  6. Step 6: Final answer
    x = 613.90

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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.