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Finding the Fourth Proportional to 697.49, 961.98 and 448.83

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Solution

The fourth proportional to 697.49, 961.98 and 448.83 is: 619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.49 : 961.98 = 448.83 : x
  2. Step 2: Convert to fraction form
    697.49/961.98 = 448.83/x
  3. Step 3: Cross multiply
    697.49x = 961.98 × 448.83
  4. Step 4: Simplify right side
    697.49x = 431,765.48
  5. Step 5: Solve for x
    x = 431,765.48/697.49
  6. Step 6: Final answer
    x = 619.03

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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.