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Finding the Fourth Proportional to 742.22, 1,113.15 and 309.14

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Solution

The fourth proportional to 742.22, 1,113.15 and 309.14 is: 463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.22 : 1,113.15 = 309.14 : x
  2. Step 2: Convert to fraction form
    742.22/1,113.15 = 309.14/x
  3. Step 3: Cross multiply
    742.22x = 1,113.15 × 309.14
  4. Step 4: Simplify right side
    742.22x = 344,119.19
  5. Step 5: Solve for x
    x = 344,119.19/742.22
  6. Step 6: Final answer
    x = 463.64

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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.