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Finding the Fourth Proportional to 1,679.29, 2,502.05 and 1,584.97

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Solution

The fourth proportional to 1,679.29, 2,502.05 and 1,584.97 is: 2,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.29 : 2,502.05 = 1,584.97 : x
  2. Step 2: Convert to fraction form
    1,679.29/2,502.05 = 1,584.97/x
  3. Step 3: Cross multiply
    1,679.29x = 2,502.05 × 1,584.97
  4. Step 4: Simplify right side
    1,679.29x = 3,965,674.19
  5. Step 5: Solve for x
    x = 3,965,674.19/1,679.29
  6. Step 6: Final answer
    x = 2,361.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.