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Finding the Fourth Proportional to 737.35, 1,016.96 and 442.56

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Solution

The fourth proportional to 737.35, 1,016.96 and 442.56 is: 610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.35 : 1,016.96 = 442.56 : x
  2. Step 2: Convert to fraction form
    737.35/1,016.96 = 442.56/x
  3. Step 3: Cross multiply
    737.35x = 1,016.96 × 442.56
  4. Step 4: Simplify right side
    737.35x = 450,067.42
  5. Step 5: Solve for x
    x = 450,067.42/737.35
  6. Step 6: Final answer
    x = 610.38

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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.