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Finding the Fourth Proportional to 696.96, 961.74 and 398.25

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Solution

The fourth proportional to 696.96, 961.74 and 398.25 is: 549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.96 : 961.74 = 398.25 : x
  2. Step 2: Convert to fraction form
    696.96/961.74 = 398.25/x
  3. Step 3: Cross multiply
    696.96x = 961.74 × 398.25
  4. Step 4: Simplify right side
    696.96x = 383,012.96
  5. Step 5: Solve for x
    x = 383,012.96/696.96
  6. Step 6: Final answer
    x = 549.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.