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Finding the Fourth Proportional to 722.60, 997.56 and 553.22

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Solution

The fourth proportional to 722.60, 997.56 and 553.22 is: 763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.60 : 997.56 = 553.22 : x
  2. Step 2: Convert to fraction form
    722.60/997.56 = 553.22/x
  3. Step 3: Cross multiply
    722.60x = 997.56 × 553.22
  4. Step 4: Simplify right side
    722.60x = 551,870.14
  5. Step 5: Solve for x
    x = 551,870.14/722.60
  6. Step 6: Final answer
    x = 763.73

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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.