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Finding the Fourth Proportional to 1,022.87, 1,534.17 and 329.51

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Solution

The fourth proportional to 1,022.87, 1,534.17 and 329.51 is: 494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.87 : 1,534.17 = 329.51 : x
  2. Step 2: Convert to fraction form
    1,022.87/1,534.17 = 329.51/x
  3. Step 3: Cross multiply
    1,022.87x = 1,534.17 × 329.51
  4. Step 4: Simplify right side
    1,022.87x = 505,524.36
  5. Step 5: Solve for x
    x = 505,524.36/1,022.87
  6. Step 6: Final answer
    x = 494.22

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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.