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Finding the Fourth Proportional to 722.24, 1,083.32 and 356.92

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Solution

The fourth proportional to 722.24, 1,083.32 and 356.92 is: 535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.24 : 1,083.32 = 356.92 : x
  2. Step 2: Convert to fraction form
    722.24/1,083.32 = 356.92/x
  3. Step 3: Cross multiply
    722.24x = 1,083.32 × 356.92
  4. Step 4: Simplify right side
    722.24x = 386,658.57
  5. Step 5: Solve for x
    x = 386,658.57/722.24
  6. Step 6: Final answer
    x = 535.36

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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.