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Finding the Fourth Proportional to 722.00, 996.38 and 442.35

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Solution

The fourth proportional to 722.00, 996.38 and 442.35 is: 610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.00 : 996.38 = 442.35 : x
  2. Step 2: Convert to fraction form
    722.00/996.38 = 442.35/x
  3. Step 3: Cross multiply
    722.00x = 996.38 × 442.35
  4. Step 4: Simplify right side
    722.00x = 440,746.48
  5. Step 5: Solve for x
    x = 440,746.48/722.00
  6. Step 6: Final answer
    x = 610.46

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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.