Home / 1,282.14-1,922.36-502.22

Finding the Fourth Proportional to 1,282.14, 1,922.36 and 502.22

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Solution

The fourth proportional to 1,282.14, 1,922.36 and 502.22 is: 753.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.14 : 1,922.36 = 502.22 : x
  2. Step 2: Convert to fraction form
    1,282.14/1,922.36 = 502.22/x
  3. Step 3: Cross multiply
    1,282.14x = 1,922.36 × 502.22
  4. Step 4: Simplify right side
    1,282.14x = 965,447.64
  5. Step 5: Solve for x
    x = 965,447.64/1,282.14
  6. Step 6: Final answer
    x = 753.00

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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.