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Finding the Fourth Proportional to 1,729, 2,588.77 and 1,209.52

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Solution

The fourth proportional to 1,729, 2,588.77 and 1,209.52 is: 1,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729 : 2,588.77 = 1,209.52 : x
  2. Step 2: Convert to fraction form
    1,729/2,588.77 = 1,209.52/x
  3. Step 3: Cross multiply
    1,729x = 2,588.77 × 1,209.52
  4. Step 4: Simplify right side
    1,729x = 3,131,169.09
  5. Step 5: Solve for x
    x = 3,131,169.09/1,729
  6. Step 6: Final answer
    x = 1,810.97

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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.