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Finding the Fourth Proportional to 697.24, 961.29 and 448.12

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Solution

The fourth proportional to 697.24, 961.29 and 448.12 is: 617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.24 : 961.29 = 448.12 : x
  2. Step 2: Convert to fraction form
    697.24/961.29 = 448.12/x
  3. Step 3: Cross multiply
    697.24x = 961.29 × 448.12
  4. Step 4: Simplify right side
    697.24x = 430,773.27
  5. Step 5: Solve for x
    x = 430,773.27/697.24
  6. Step 6: Final answer
    x = 617.83

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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.