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Finding the Fourth Proportional to 711.25, 1,066.75 and 191.29

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Solution

The fourth proportional to 711.25, 1,066.75 and 191.29 is: 286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.25 : 1,066.75 = 191.29 : x
  2. Step 2: Convert to fraction form
    711.25/1,066.75 = 191.29/x
  3. Step 3: Cross multiply
    711.25x = 1,066.75 × 191.29
  4. Step 4: Simplify right side
    711.25x = 204,055.94
  5. Step 5: Solve for x
    x = 204,055.94/711.25
  6. Step 6: Final answer
    x = 286.90

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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.