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Finding the Fourth Proportional to 1,231.25, 1,699.13 and 679.25

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Solution

The fourth proportional to 1,231.25, 1,699.13 and 679.25 is: 937.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.25 : 1,699.13 = 679.25 : x
  2. Step 2: Convert to fraction form
    1,231.25/1,699.13 = 679.25/x
  3. Step 3: Cross multiply
    1,231.25x = 1,699.13 × 679.25
  4. Step 4: Simplify right side
    1,231.25x = 1,154,134.05
  5. Step 5: Solve for x
    x = 1,154,134.05/1,231.25
  6. Step 6: Final answer
    x = 937.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.