Home / 1,022.85-1,534.26-329.57

Finding the Fourth Proportional to 1,022.85, 1,534.26 and 329.57

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Solution

The fourth proportional to 1,022.85, 1,534.26 and 329.57 is: 494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.85 : 1,534.26 = 329.57 : x
  2. Step 2: Convert to fraction form
    1,022.85/1,534.26 = 329.57/x
  3. Step 3: Cross multiply
    1,022.85x = 1,534.26 × 329.57
  4. Step 4: Simplify right side
    1,022.85x = 505,644.42
  5. Step 5: Solve for x
    x = 505,644.42/1,022.85
  6. Step 6: Final answer
    x = 494.35

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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.