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Finding the Fourth Proportional to 766.08, 1,148.32 and 380.48

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Solution

The fourth proportional to 766.08, 1,148.32 and 380.48 is: 570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.08 : 1,148.32 = 380.48 : x
  2. Step 2: Convert to fraction form
    766.08/1,148.32 = 380.48/x
  3. Step 3: Cross multiply
    766.08x = 1,148.32 × 380.48
  4. Step 4: Simplify right side
    766.08x = 436,912.79
  5. Step 5: Solve for x
    x = 436,912.79/766.08
  6. Step 6: Final answer
    x = 570.32

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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.