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Finding the Fourth Proportional to 609.24, 839.34 and 580.44

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Solution

The fourth proportional to 609.24, 839.34 and 580.44 is: 799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.24 : 839.34 = 580.44 : x
  2. Step 2: Convert to fraction form
    609.24/839.34 = 580.44/x
  3. Step 3: Cross multiply
    609.24x = 839.34 × 580.44
  4. Step 4: Simplify right side
    609.24x = 487,186.51
  5. Step 5: Solve for x
    x = 487,186.51/609.24
  6. Step 6: Final answer
    x = 799.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.