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Finding the Fourth Proportional to 742.15, 1,107.19 and 633.25

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Solution

The fourth proportional to 742.15, 1,107.19 and 633.25 is: 944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.15 : 1,107.19 = 633.25 : x
  2. Step 2: Convert to fraction form
    742.15/1,107.19 = 633.25/x
  3. Step 3: Cross multiply
    742.15x = 1,107.19 × 633.25
  4. Step 4: Simplify right side
    742.15x = 701,128.07
  5. Step 5: Solve for x
    x = 701,128.07/742.15
  6. Step 6: Final answer
    x = 944.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.