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Finding the Fourth Proportional to 1,231.82, 1,846.75 and 711.23

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Solution

The fourth proportional to 1,231.82, 1,846.75 and 711.23 is: 1,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.82 : 1,846.75 = 711.23 : x
  2. Step 2: Convert to fraction form
    1,231.82/1,846.75 = 711.23/x
  3. Step 3: Cross multiply
    1,231.82x = 1,846.75 × 711.23
  4. Step 4: Simplify right side
    1,231.82x = 1,313,465.91
  5. Step 5: Solve for x
    x = 1,313,465.91/1,231.82
  6. Step 6: Final answer
    x = 1,066.28

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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.