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Finding the Fourth Proportional to 697.26, 961.78 and 417.30

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Solution

The fourth proportional to 697.26, 961.78 and 417.30 is: 575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.26 : 961.78 = 417.30 : x
  2. Step 2: Convert to fraction form
    697.26/961.78 = 417.30/x
  3. Step 3: Cross multiply
    697.26x = 961.78 × 417.30
  4. Step 4: Simplify right side
    697.26x = 401,350.79
  5. Step 5: Solve for x
    x = 401,350.79/697.26
  6. Step 6: Final answer
    x = 575.61

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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.