Home / 1,022.45-1,533.68-252.95

Finding the Fourth Proportional to 1,022.45, 1,533.68 and 252.95

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Solution

The fourth proportional to 1,022.45, 1,533.68 and 252.95 is: 379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.45 : 1,533.68 = 252.95 : x
  2. Step 2: Convert to fraction form
    1,022.45/1,533.68 = 252.95/x
  3. Step 3: Cross multiply
    1,022.45x = 1,533.68 × 252.95
  4. Step 4: Simplify right side
    1,022.45x = 387,935.42
  5. Step 5: Solve for x
    x = 387,935.42/1,022.45
  6. Step 6: Final answer
    x = 379.42

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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.