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Finding the Fourth Proportional to 580.25, 800.25 and 393.44

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Solution

The fourth proportional to 580.25, 800.25 and 393.44 is: 542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.25 : 800.25 = 393.44 : x
  2. Step 2: Convert to fraction form
    580.25/800.25 = 393.44/x
  3. Step 3: Cross multiply
    580.25x = 800.25 × 393.44
  4. Step 4: Simplify right side
    580.25x = 314,846.36
  5. Step 5: Solve for x
    x = 314,846.36/580.25
  6. Step 6: Final answer
    x = 542.61

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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.