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Finding the Fourth Proportional to 1,322.85, 1,825.34 and 733.31

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Solution

The fourth proportional to 1,322.85, 1,825.34 and 733.31 is: 1,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.85 : 1,825.34 = 733.31 : x
  2. Step 2: Convert to fraction form
    1,322.85/1,825.34 = 733.31/x
  3. Step 3: Cross multiply
    1,322.85x = 1,825.34 × 733.31
  4. Step 4: Simplify right side
    1,322.85x = 1,338,527.28
  5. Step 5: Solve for x
    x = 1,338,527.28/1,322.85
  6. Step 6: Final answer
    x = 1,011.85

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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.