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Finding the Fourth Proportional to 734.49, 1,100.93 and 323.42

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Solution

The fourth proportional to 734.49, 1,100.93 and 323.42 is: 484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.49 : 1,100.93 = 323.42 : x
  2. Step 2: Convert to fraction form
    734.49/1,100.93 = 323.42/x
  3. Step 3: Cross multiply
    734.49x = 1,100.93 × 323.42
  4. Step 4: Simplify right side
    734.49x = 356,055.66
  5. Step 5: Solve for x
    x = 356,055.66/734.49
  6. Step 6: Final answer
    x = 484.77

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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.