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Finding the Fourth Proportional to 721.86, 1,083.18 and 356.76

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Solution

The fourth proportional to 721.86, 1,083.18 and 356.76 is: 535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.86 : 1,083.18 = 356.76 : x
  2. Step 2: Convert to fraction form
    721.86/1,083.18 = 356.76/x
  3. Step 3: Cross multiply
    721.86x = 1,083.18 × 356.76
  4. Step 4: Simplify right side
    721.86x = 386,435.30
  5. Step 5: Solve for x
    x = 386,435.30/721.86
  6. Step 6: Final answer
    x = 535.33

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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.