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Finding the Fourth Proportional to 722.45, 997.11 and 535.65

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Solution

The fourth proportional to 722.45, 997.11 and 535.65 is: 739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.45 : 997.11 = 535.65 : x
  2. Step 2: Convert to fraction form
    722.45/997.11 = 535.65/x
  3. Step 3: Cross multiply
    722.45x = 997.11 × 535.65
  4. Step 4: Simplify right side
    722.45x = 534,098.23
  5. Step 5: Solve for x
    x = 534,098.23/722.45
  6. Step 6: Final answer
    x = 739.28

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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.