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Finding the Fourth Proportional to 697.30, 961.38 and 494.98

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Solution

The fourth proportional to 697.30, 961.38 and 494.98 is: 682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.30 : 961.38 = 494.98 : x
  2. Step 2: Convert to fraction form
    697.30/961.38 = 494.98/x
  3. Step 3: Cross multiply
    697.30x = 961.38 × 494.98
  4. Step 4: Simplify right side
    697.30x = 475,863.87
  5. Step 5: Solve for x
    x = 475,863.87/697.30
  6. Step 6: Final answer
    x = 682.44

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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.