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Finding the Fourth Proportional to 735.87, 1,108.86 and 608.73

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Solution

The fourth proportional to 735.87, 1,108.86 and 608.73 is: 917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.87 : 1,108.86 = 608.73 : x
  2. Step 2: Convert to fraction form
    735.87/1,108.86 = 608.73/x
  3. Step 3: Cross multiply
    735.87x = 1,108.86 × 608.73
  4. Step 4: Simplify right side
    735.87x = 674,996.35
  5. Step 5: Solve for x
    x = 674,996.35/735.87
  6. Step 6: Final answer
    x = 917.28

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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.