Home / 1,286.49-1,929.17-506.06

Finding the Fourth Proportional to 1,286.49, 1,929.17 and 506.06

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Solution

The fourth proportional to 1,286.49, 1,929.17 and 506.06 is: 758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.49 : 1,929.17 = 506.06 : x
  2. Step 2: Convert to fraction form
    1,286.49/1,929.17 = 506.06/x
  3. Step 3: Cross multiply
    1,286.49x = 1,929.17 × 506.06
  4. Step 4: Simplify right side
    1,286.49x = 976,263.59
  5. Step 5: Solve for x
    x = 976,263.59/1,286.49
  6. Step 6: Final answer
    x = 758.86

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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.