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Finding the Fourth Proportional to 722.32, 996.74 and 411.82

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Solution

The fourth proportional to 722.32, 996.74 and 411.82 is: 568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.32 : 996.74 = 411.82 : x
  2. Step 2: Convert to fraction form
    722.32/996.74 = 411.82/x
  3. Step 3: Cross multiply
    722.32x = 996.74 × 411.82
  4. Step 4: Simplify right side
    722.32x = 410,477.47
  5. Step 5: Solve for x
    x = 410,477.47/722.32
  6. Step 6: Final answer
    x = 568.28

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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.