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Finding the Fourth Proportional to 735.10, 1,101.20 and 426.18

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Solution

The fourth proportional to 735.10, 1,101.20 and 426.18 is: 638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.10 : 1,101.20 = 426.18 : x
  2. Step 2: Convert to fraction form
    735.10/1,101.20 = 426.18/x
  3. Step 3: Cross multiply
    735.10x = 1,101.20 × 426.18
  4. Step 4: Simplify right side
    735.10x = 469,309.42
  5. Step 5: Solve for x
    x = 469,309.42/735.10
  6. Step 6: Final answer
    x = 638.43

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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.