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Finding the Fourth Proportional to 722.36, 996.72 and 442.10

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Solution

The fourth proportional to 722.36, 996.72 and 442.10 is: 610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.36 : 996.72 = 442.10 : x
  2. Step 2: Convert to fraction form
    722.36/996.72 = 442.10/x
  3. Step 3: Cross multiply
    722.36x = 996.72 × 442.10
  4. Step 4: Simplify right side
    722.36x = 440,649.91
  5. Step 5: Solve for x
    x = 440,649.91/722.36
  6. Step 6: Final answer
    x = 610.01

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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.