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Finding the Fourth Proportional to 735.75, 1,012.78 and 636.12

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Solution

The fourth proportional to 735.75, 1,012.78 and 636.12 is: 875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.75 : 1,012.78 = 636.12 : x
  2. Step 2: Convert to fraction form
    735.75/1,012.78 = 636.12/x
  3. Step 3: Cross multiply
    735.75x = 1,012.78 × 636.12
  4. Step 4: Simplify right side
    735.75x = 644,249.61
  5. Step 5: Solve for x
    x = 644,249.61/735.75
  6. Step 6: Final answer
    x = 875.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.