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Finding the Fourth Proportional to 609.31, 912.90 and 452.42

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Solution

The fourth proportional to 609.31, 912.90 and 452.42 is: 677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.31 : 912.90 = 452.42 : x
  2. Step 2: Convert to fraction form
    609.31/912.90 = 452.42/x
  3. Step 3: Cross multiply
    609.31x = 912.90 × 452.42
  4. Step 4: Simplify right side
    609.31x = 413,014.22
  5. Step 5: Solve for x
    x = 413,014.22/609.31
  6. Step 6: Final answer
    x = 677.84

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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.