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Finding the Fourth Proportional to 1,208.29, 1,817.94 and 721.72

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Solution

The fourth proportional to 1,208.29, 1,817.94 and 721.72 is: 1,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.29 : 1,817.94 = 721.72 : x
  2. Step 2: Convert to fraction form
    1,208.29/1,817.94 = 721.72/x
  3. Step 3: Cross multiply
    1,208.29x = 1,817.94 × 721.72
  4. Step 4: Simplify right side
    1,208.29x = 1,312,043.66
  5. Step 5: Solve for x
    x = 1,312,043.66/1,208.29
  6. Step 6: Final answer
    x = 1,085.87

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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.