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Finding the Fourth Proportional to 609.65, 908.42 and 580.26

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Solution

The fourth proportional to 609.65, 908.42 and 580.26 is: 864.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.65 : 908.42 = 580.26 : x
  2. Step 2: Convert to fraction form
    609.65/908.42 = 580.26/x
  3. Step 3: Cross multiply
    609.65x = 908.42 × 580.26
  4. Step 4: Simplify right side
    609.65x = 527,116.89
  5. Step 5: Solve for x
    x = 527,116.89/609.65
  6. Step 6: Final answer
    x = 864.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.