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Finding the Fourth Proportional to 742.96, 1,114.16 and 633.22

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Solution

The fourth proportional to 742.96, 1,114.16 and 633.22 is: 949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.96 : 1,114.16 = 633.22 : x
  2. Step 2: Convert to fraction form
    742.96/1,114.16 = 633.22/x
  3. Step 3: Cross multiply
    742.96x = 1,114.16 × 633.22
  4. Step 4: Simplify right side
    742.96x = 705,508.40
  5. Step 5: Solve for x
    x = 705,508.40/742.96
  6. Step 6: Final answer
    x = 949.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.