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Finding the Fourth Proportional to 1,022.20, 1,532.78 and 502.24

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Solution

The fourth proportional to 1,022.20, 1,532.78 and 502.24 is: 753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.20 : 1,532.78 = 502.24 : x
  2. Step 2: Convert to fraction form
    1,022.20/1,532.78 = 502.24/x
  3. Step 3: Cross multiply
    1,022.20x = 1,532.78 × 502.24
  4. Step 4: Simplify right side
    1,022.20x = 769,823.43
  5. Step 5: Solve for x
    x = 769,823.43/1,022.20
  6. Step 6: Final answer
    x = 753.10

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1.5x scale

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.