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Finding the Fourth Proportional to 722.02, 995.96 and 442.38

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Solution

The fourth proportional to 722.02, 995.96 and 442.38 is: 610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.02 : 995.96 = 442.38 : x
  2. Step 2: Convert to fraction form
    722.02/995.96 = 442.38/x
  3. Step 3: Cross multiply
    722.02x = 995.96 × 442.38
  4. Step 4: Simplify right side
    722.02x = 440,592.78
  5. Step 5: Solve for x
    x = 440,592.78/722.02
  6. Step 6: Final answer
    x = 610.22

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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.