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Finding the Fourth Proportional to 722.03, 996.32 and 407.27

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Solution

The fourth proportional to 722.03, 996.32 and 407.27 is: 562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.03 : 996.32 = 407.27 : x
  2. Step 2: Convert to fraction form
    722.03/996.32 = 407.27/x
  3. Step 3: Cross multiply
    722.03x = 996.32 × 407.27
  4. Step 4: Simplify right side
    722.03x = 405,774.76
  5. Step 5: Solve for x
    x = 405,774.76/722.03
  6. Step 6: Final answer
    x = 562.00

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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.