Home / 1,952.25-2,928.78-617.96

Finding the Fourth Proportional to 1,952.25, 2,928.78 and 617.96

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Solution

The fourth proportional to 1,952.25, 2,928.78 and 617.96 is: 927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.25 : 2,928.78 = 617.96 : x
  2. Step 2: Convert to fraction form
    1,952.25/2,928.78 = 617.96/x
  3. Step 3: Cross multiply
    1,952.25x = 2,928.78 × 617.96
  4. Step 4: Simplify right side
    1,952.25x = 1,809,854.24
  5. Step 5: Solve for x
    x = 1,809,854.24/1,952.25
  6. Step 6: Final answer
    x = 927.06

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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.