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Finding the Fourth Proportional to 742.23, 1,114.29 and 469.46

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Solution

The fourth proportional to 742.23, 1,114.29 and 469.46 is: 704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.23 : 1,114.29 = 469.46 : x
  2. Step 2: Convert to fraction form
    742.23/1,114.29 = 469.46/x
  3. Step 3: Cross multiply
    742.23x = 1,114.29 × 469.46
  4. Step 4: Simplify right side
    742.23x = 523,117.37
  5. Step 5: Solve for x
    x = 523,117.37/742.23
  6. Step 6: Final answer
    x = 704.79

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