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Finding the Fourth Proportional to 735.26, 1,108.36 and 633.38

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Solution

The fourth proportional to 735.26, 1,108.36 and 633.38 is: 954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.26 : 1,108.36 = 633.38 : x
  2. Step 2: Convert to fraction form
    735.26/1,108.36 = 633.38/x
  3. Step 3: Cross multiply
    735.26x = 1,108.36 × 633.38
  4. Step 4: Simplify right side
    735.26x = 702,009.89
  5. Step 5: Solve for x
    x = 702,009.89/735.26
  6. Step 6: Final answer
    x = 954.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.