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Finding the Fourth Proportional to 609.08, 911.76 and 392.20

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Solution

The fourth proportional to 609.08, 911.76 and 392.20 is: 587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.08 : 911.76 = 392.20 : x
  2. Step 2: Convert to fraction form
    609.08/911.76 = 392.20/x
  3. Step 3: Cross multiply
    609.08x = 911.76 × 392.20
  4. Step 4: Simplify right side
    609.08x = 357,592.27
  5. Step 5: Solve for x
    x = 357,592.27/609.08
  6. Step 6: Final answer
    x = 587.10

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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.