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Finding the Fourth Proportional to 1,653.71, 2,480.49 and 679.78

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Solution

The fourth proportional to 1,653.71, 2,480.49 and 679.78 is: 1,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.71 : 2,480.49 = 679.78 : x
  2. Step 2: Convert to fraction form
    1,653.71/2,480.49 = 679.78/x
  3. Step 3: Cross multiply
    1,653.71x = 2,480.49 × 679.78
  4. Step 4: Simplify right side
    1,653.71x = 1,686,190.59
  5. Step 5: Solve for x
    x = 1,686,190.59/1,653.71
  6. Step 6: Final answer
    x = 1,019.64

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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.