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Finding the Fourth Proportional to 805.76, 1,208.22 and 394.28

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Solution

The fourth proportional to 805.76, 1,208.22 and 394.28 is: 591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.76 : 1,208.22 = 394.28 : x
  2. Step 2: Convert to fraction form
    805.76/1,208.22 = 394.28/x
  3. Step 3: Cross multiply
    805.76x = 1,208.22 × 394.28
  4. Step 4: Simplify right side
    805.76x = 476,376.98
  5. Step 5: Solve for x
    x = 476,376.98/805.76
  6. Step 6: Final answer
    x = 591.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.