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Finding the Fourth Proportional to 722, 997.17 and 488.72

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Solution

The fourth proportional to 722, 997.17 and 488.72 is: 674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    722 : 997.17 = 488.72 : x
  2. Step 2: Convert to fraction form
    722/997.17 = 488.72/x
  3. Step 3: Cross multiply
    722x = 997.17 × 488.72
  4. Step 4: Simplify right side
    722x = 487,336.92
  5. Step 5: Solve for x
    x = 487,336.92/722
  6. Step 6: Final answer
    x = 674.98

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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.