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Finding the Fourth Proportional to 1,732.93, 2,601.69 and 809.13

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Solution

The fourth proportional to 1,732.93, 2,601.69 and 809.13 is: 1,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.93 : 2,601.69 = 809.13 : x
  2. Step 2: Convert to fraction form
    1,732.93/2,601.69 = 809.13/x
  3. Step 3: Cross multiply
    1,732.93x = 2,601.69 × 809.13
  4. Step 4: Simplify right side
    1,732.93x = 2,105,105.43
  5. Step 5: Solve for x
    x = 2,105,105.43/1,732.93
  6. Step 6: Final answer
    x = 1,214.77

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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.