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Finding the Fourth Proportional to 742.11, 1,019.51 and 664.44

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Solution

The fourth proportional to 742.11, 1,019.51 and 664.44 is: 912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.11 : 1,019.51 = 664.44 : x
  2. Step 2: Convert to fraction form
    742.11/1,019.51 = 664.44/x
  3. Step 3: Cross multiply
    742.11x = 1,019.51 × 664.44
  4. Step 4: Simplify right side
    742.11x = 677,403.22
  5. Step 5: Solve for x
    x = 677,403.22/742.11
  6. Step 6: Final answer
    x = 912.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.