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Finding the Fourth Proportional to 697.13, 961.98 and 398.43

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Solution

The fourth proportional to 697.13, 961.98 and 398.43 is: 549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.13 : 961.98 = 398.43 : x
  2. Step 2: Convert to fraction form
    697.13/961.98 = 398.43/x
  3. Step 3: Cross multiply
    697.13x = 961.98 × 398.43
  4. Step 4: Simplify right side
    697.13x = 383,281.69
  5. Step 5: Solve for x
    x = 383,281.69/697.13
  6. Step 6: Final answer
    x = 549.80

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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.