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Finding the Fourth Proportional to 1,696.89, 2,543.07 and 721.77

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Solution

The fourth proportional to 1,696.89, 2,543.07 and 721.77 is: 1,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.89 : 2,543.07 = 721.77 : x
  2. Step 2: Convert to fraction form
    1,696.89/2,543.07 = 721.77/x
  3. Step 3: Cross multiply
    1,696.89x = 2,543.07 × 721.77
  4. Step 4: Simplify right side
    1,696.89x = 1,835,511.63
  5. Step 5: Solve for x
    x = 1,835,511.63/1,696.89
  6. Step 6: Final answer
    x = 1,081.69

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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.