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Finding the Fourth Proportional to 1,023.63, 1,535.90 and 438.78

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Solution

The fourth proportional to 1,023.63, 1,535.90 and 438.78 is: 658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.63 : 1,535.90 = 438.78 : x
  2. Step 2: Convert to fraction form
    1,023.63/1,535.90 = 438.78/x
  3. Step 3: Cross multiply
    1,023.63x = 1,535.90 × 438.78
  4. Step 4: Simplify right side
    1,023.63x = 673,921.65
  5. Step 5: Solve for x
    x = 673,921.65/1,023.63
  6. Step 6: Final answer
    x = 658.37

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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.