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Finding the Fourth Proportional to 1,022.26, 1,532.86 and 502.03

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Solution

The fourth proportional to 1,022.26, 1,532.86 and 502.03 is: 752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.26 : 1,532.86 = 502.03 : x
  2. Step 2: Convert to fraction form
    1,022.26/1,532.86 = 502.03/x
  3. Step 3: Cross multiply
    1,022.26x = 1,532.86 × 502.03
  4. Step 4: Simplify right side
    1,022.26x = 769,541.71
  5. Step 5: Solve for x
    x = 769,541.71/1,022.26
  6. Step 6: Final answer
    x = 752.78

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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.