Home / 1,022.27-1,533.56-502.20

Finding the Fourth Proportional to 1,022.27, 1,533.56 and 502.20

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Solution

The fourth proportional to 1,022.27, 1,533.56 and 502.20 is: 753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.27 : 1,533.56 = 502.20 : x
  2. Step 2: Convert to fraction form
    1,022.27/1,533.56 = 502.20/x
  3. Step 3: Cross multiply
    1,022.27x = 1,533.56 × 502.20
  4. Step 4: Simplify right side
    1,022.27x = 770,151.32
  5. Step 5: Solve for x
    x = 770,151.32/1,022.27
  6. Step 6: Final answer
    x = 753.38

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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.