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Finding the Fourth Proportional to 609.08, 911.22 and 585.08

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Solution

The fourth proportional to 609.08, 911.22 and 585.08 is: 875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.08 : 911.22 = 585.08 : x
  2. Step 2: Convert to fraction form
    609.08/911.22 = 585.08/x
  3. Step 3: Cross multiply
    609.08x = 911.22 × 585.08
  4. Step 4: Simplify right side
    609.08x = 533,136.60
  5. Step 5: Solve for x
    x = 533,136.60/609.08
  6. Step 6: Final answer
    x = 875.31

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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.