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Finding the Fourth Proportional to 1,022.65, 1,532.15 and 428.36

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Solution

The fourth proportional to 1,022.65, 1,532.15 and 428.36 is: 641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.65 : 1,532.15 = 428.36 : x
  2. Step 2: Convert to fraction form
    1,022.65/1,532.15 = 428.36/x
  3. Step 3: Cross multiply
    1,022.65x = 1,532.15 × 428.36
  4. Step 4: Simplify right side
    1,022.65x = 656,311.04
  5. Step 5: Solve for x
    x = 656,311.04/1,022.65
  6. Step 6: Final answer
    x = 641.77

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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.