Home / 1,286.37-1,928.24-506.06

Finding the Fourth Proportional to 1,286.37, 1,928.24 and 506.06

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Solution

The fourth proportional to 1,286.37, 1,928.24 and 506.06 is: 758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.37 : 1,928.24 = 506.06 : x
  2. Step 2: Convert to fraction form
    1,286.37/1,928.24 = 506.06/x
  3. Step 3: Cross multiply
    1,286.37x = 1,928.24 × 506.06
  4. Step 4: Simplify right side
    1,286.37x = 975,803.74
  5. Step 5: Solve for x
    x = 975,803.74/1,286.37
  6. Step 6: Final answer
    x = 758.57

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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.