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Finding the Fourth Proportional to 722.75, 997.85 and 556.65

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Solution

The fourth proportional to 722.75, 997.85 and 556.65 is: 768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.75 : 997.85 = 556.65 : x
  2. Step 2: Convert to fraction form
    722.75/997.85 = 556.65/x
  3. Step 3: Cross multiply
    722.75x = 997.85 × 556.65
  4. Step 4: Simplify right side
    722.75x = 555,453.20
  5. Step 5: Solve for x
    x = 555,453.20/722.75
  6. Step 6: Final answer
    x = 768.53

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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.