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Finding the Fourth Proportional to 766.25, 1,149.40 and 189.13

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Solution

The fourth proportional to 766.25, 1,149.40 and 189.13 is: 283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.25 : 1,149.40 = 189.13 : x
  2. Step 2: Convert to fraction form
    766.25/1,149.40 = 189.13/x
  3. Step 3: Cross multiply
    766.25x = 1,149.40 × 189.13
  4. Step 4: Simplify right side
    766.25x = 217,380.28
  5. Step 5: Solve for x
    x = 217,380.28/766.25
  6. Step 6: Final answer
    x = 283.69

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1.5x scale

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.