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Finding the Fourth Proportional to 740.92, 1,110.30 and 308.38

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Solution

The fourth proportional to 740.92, 1,110.30 and 308.38 is: 462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.92 : 1,110.30 = 308.38 : x
  2. Step 2: Convert to fraction form
    740.92/1,110.30 = 308.38/x
  3. Step 3: Cross multiply
    740.92x = 1,110.30 × 308.38
  4. Step 4: Simplify right side
    740.92x = 342,394.31
  5. Step 5: Solve for x
    x = 342,394.31/740.92
  6. Step 6: Final answer
    x = 462.12

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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.