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Finding the Fourth Proportional to 2,270.53, 3,405.99 and 809.32

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Solution

The fourth proportional to 2,270.53, 3,405.99 and 809.32 is: 1,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.53 : 3,405.99 = 809.32 : x
  2. Step 2: Convert to fraction form
    2,270.53/3,405.99 = 809.32/x
  3. Step 3: Cross multiply
    2,270.53x = 3,405.99 × 809.32
  4. Step 4: Simplify right side
    2,270.53x = 2,756,535.83
  5. Step 5: Solve for x
    x = 2,756,535.83/2,270.53
  6. Step 6: Final answer
    x = 1,214.05

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Why These Related Problems?

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