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Finding the Fourth Proportional to 580.28, 800.94 and 347.48

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Solution

The fourth proportional to 580.28, 800.94 and 347.48 is: 479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.28 : 800.94 = 347.48 : x
  2. Step 2: Convert to fraction form
    580.28/800.94 = 347.48/x
  3. Step 3: Cross multiply
    580.28x = 800.94 × 347.48
  4. Step 4: Simplify right side
    580.28x = 278,310.63
  5. Step 5: Solve for x
    x = 278,310.63/580.28
  6. Step 6: Final answer
    x = 479.61

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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.