Home / 1,286.47-1,928.43-505.98

Finding the Fourth Proportional to 1,286.47, 1,928.43 and 505.98

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Solution

The fourth proportional to 1,286.47, 1,928.43 and 505.98 is: 758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.47 : 1,928.43 = 505.98 : x
  2. Step 2: Convert to fraction form
    1,286.47/1,928.43 = 505.98/x
  3. Step 3: Cross multiply
    1,286.47x = 1,928.43 × 505.98
  4. Step 4: Simplify right side
    1,286.47x = 975,747.01
  5. Step 5: Solve for x
    x = 975,747.01/1,286.47
  6. Step 6: Final answer
    x = 758.47

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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.