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Finding the Fourth Proportional to 734.38, 1,102.38 and 426.58

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Solution

The fourth proportional to 734.38, 1,102.38 and 426.58 is: 640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.38 : 1,102.38 = 426.58 : x
  2. Step 2: Convert to fraction form
    734.38/1,102.38 = 426.58/x
  3. Step 3: Cross multiply
    734.38x = 1,102.38 × 426.58
  4. Step 4: Simplify right side
    734.38x = 470,253.26
  5. Step 5: Solve for x
    x = 470,253.26/734.38
  6. Step 6: Final answer
    x = 640.34

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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.