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Finding the Fourth Proportional to 734.49, 1,102.40 and 344.72

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Solution

The fourth proportional to 734.49, 1,102.40 and 344.72 is: 517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.49 : 1,102.40 = 344.72 : x
  2. Step 2: Convert to fraction form
    734.49/1,102.40 = 344.72/x
  3. Step 3: Cross multiply
    734.49x = 1,102.40 × 344.72
  4. Step 4: Simplify right side
    734.49x = 380,012.09
  5. Step 5: Solve for x
    x = 380,012.09/734.49
  6. Step 6: Final answer
    x = 517.38

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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.