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Finding the Fourth Proportional to 580.22, 800.74 and 344.24

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Solution

The fourth proportional to 580.22, 800.74 and 344.24 is: 475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.22 : 800.74 = 344.24 : x
  2. Step 2: Convert to fraction form
    580.22/800.74 = 344.24/x
  3. Step 3: Cross multiply
    580.22x = 800.74 × 344.24
  4. Step 4: Simplify right side
    580.22x = 275,646.74
  5. Step 5: Solve for x
    x = 275,646.74/580.22
  6. Step 6: Final answer
    x = 475.07

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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.