Home / 1,286.29-1,928.13-506.84

Finding the Fourth Proportional to 1,286.29, 1,928.13 and 506.84

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Solution

The fourth proportional to 1,286.29, 1,928.13 and 506.84 is: 759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.29 : 1,928.13 = 506.84 : x
  2. Step 2: Convert to fraction form
    1,286.29/1,928.13 = 506.84/x
  3. Step 3: Cross multiply
    1,286.29x = 1,928.13 × 506.84
  4. Step 4: Simplify right side
    1,286.29x = 977,248.33
  5. Step 5: Solve for x
    x = 977,248.33/1,286.29
  6. Step 6: Final answer
    x = 759.74

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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.