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Finding the Fourth Proportional to 809.46, 1,214.60 and 376.92

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Solution

The fourth proportional to 809.46, 1,214.60 and 376.92 is: 565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.46 : 1,214.60 = 376.92 : x
  2. Step 2: Convert to fraction form
    809.46/1,214.60 = 376.92/x
  3. Step 3: Cross multiply
    809.46x = 1,214.60 × 376.92
  4. Step 4: Simplify right side
    809.46x = 457,805.15
  5. Step 5: Solve for x
    x = 457,805.15/809.46
  6. Step 6: Final answer
    x = 565.57

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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.