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Finding the Fourth Proportional to 766.08, 1,149.60 and 310.08

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Solution

The fourth proportional to 766.08, 1,149.60 and 310.08 is: 465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.08 : 1,149.60 = 310.08 : x
  2. Step 2: Convert to fraction form
    766.08/1,149.60 = 310.08/x
  3. Step 3: Cross multiply
    766.08x = 1,149.60 × 310.08
  4. Step 4: Simplify right side
    766.08x = 356,467.97
  5. Step 5: Solve for x
    x = 356,467.97/766.08
  6. Step 6: Final answer
    x = 465.31

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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.