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Finding the Fourth Proportional to 735.08, 1,102.30 and 422.68

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Solution

The fourth proportional to 735.08, 1,102.30 and 422.68 is: 633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.08 : 1,102.30 = 422.68 : x
  2. Step 2: Convert to fraction form
    735.08/1,102.30 = 422.68/x
  3. Step 3: Cross multiply
    735.08x = 1,102.30 × 422.68
  4. Step 4: Simplify right side
    735.08x = 465,920.16
  5. Step 5: Solve for x
    x = 465,920.16/735.08
  6. Step 6: Final answer
    x = 633.84

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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.