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Finding the Fourth Proportional to 1,695.65, 2,544.56 and 721.74

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Solution

The fourth proportional to 1,695.65, 2,544.56 and 721.74 is: 1,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.65 : 2,544.56 = 721.74 : x
  2. Step 2: Convert to fraction form
    1,695.65/2,544.56 = 721.74/x
  3. Step 3: Cross multiply
    1,695.65x = 2,544.56 × 721.74
  4. Step 4: Simplify right side
    1,695.65x = 1,836,507.13
  5. Step 5: Solve for x
    x = 1,836,507.13/1,695.65
  6. Step 6: Final answer
    x = 1,083.07

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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.