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Finding the Fourth Proportional to 1,252.21, 1,726.93 and 809.65

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Solution

The fourth proportional to 1,252.21, 1,726.93 and 809.65 is: 1,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.21 : 1,726.93 = 809.65 : x
  2. Step 2: Convert to fraction form
    1,252.21/1,726.93 = 809.65/x
  3. Step 3: Cross multiply
    1,252.21x = 1,726.93 × 809.65
  4. Step 4: Simplify right side
    1,252.21x = 1,398,208.87
  5. Step 5: Solve for x
    x = 1,398,208.87/1,252.21
  6. Step 6: Final answer
    x = 1,116.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.