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Finding the Fourth Proportional to 729.22, 1,093.26 and 382.31

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Solution

The fourth proportional to 729.22, 1,093.26 and 382.31 is: 573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.22 : 1,093.26 = 382.31 : x
  2. Step 2: Convert to fraction form
    729.22/1,093.26 = 382.31/x
  3. Step 3: Cross multiply
    729.22x = 1,093.26 × 382.31
  4. Step 4: Simplify right side
    729.22x = 417,962.32
  5. Step 5: Solve for x
    x = 417,962.32/729.22
  6. Step 6: Final answer
    x = 573.17

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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.