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Finding the Fourth Proportional to 809.82, 1,214.14 and 398.85

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Solution

The fourth proportional to 809.82, 1,214.14 and 398.85 is: 597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.82 : 1,214.14 = 398.85 : x
  2. Step 2: Convert to fraction form
    809.82/1,214.14 = 398.85/x
  3. Step 3: Cross multiply
    809.82x = 1,214.14 × 398.85
  4. Step 4: Simplify right side
    809.82x = 484,259.74
  5. Step 5: Solve for x
    x = 484,259.74/809.82
  6. Step 6: Final answer
    x = 597.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.