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Finding the Fourth Proportional to 1,761.42, 2,643.66 and 721.98

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Solution

The fourth proportional to 1,761.42, 2,643.66 and 721.98 is: 1,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.42 : 2,643.66 = 721.98 : x
  2. Step 2: Convert to fraction form
    1,761.42/2,643.66 = 721.98/x
  3. Step 3: Cross multiply
    1,761.42x = 2,643.66 × 721.98
  4. Step 4: Simplify right side
    1,761.42x = 1,908,669.65
  5. Step 5: Solve for x
    x = 1,908,669.65/1,761.42
  6. Step 6: Final answer
    x = 1,083.60

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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.