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Finding the Fourth Proportional to 809.98, 1,215.16 and 376.62

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Solution

The fourth proportional to 809.98, 1,215.16 and 376.62 is: 565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.98 : 1,215.16 = 376.62 : x
  2. Step 2: Convert to fraction form
    809.98/1,215.16 = 376.62/x
  3. Step 3: Cross multiply
    809.98x = 1,215.16 × 376.62
  4. Step 4: Simplify right side
    809.98x = 457,653.56
  5. Step 5: Solve for x
    x = 457,653.56/809.98
  6. Step 6: Final answer
    x = 565.02

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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.