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Finding the Fourth Proportional to 722.20, 996.79 and 456.47

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Solution

The fourth proportional to 722.20, 996.79 and 456.47 is: 630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.20 : 996.79 = 456.47 : x
  2. Step 2: Convert to fraction form
    722.20/996.79 = 456.47/x
  3. Step 3: Cross multiply
    722.20x = 996.79 × 456.47
  4. Step 4: Simplify right side
    722.20x = 455,006.00
  5. Step 5: Solve for x
    x = 455,006.00/722.20
  6. Step 6: Final answer
    x = 630.03

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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.