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Finding the Fourth Proportional to 1,286.37, 1,928.37 and 464.45

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Solution

The fourth proportional to 1,286.37, 1,928.37 and 464.45 is: 696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.37 : 1,928.37 = 464.45 : x
  2. Step 2: Convert to fraction form
    1,286.37/1,928.37 = 464.45/x
  3. Step 3: Cross multiply
    1,286.37x = 1,928.37 × 464.45
  4. Step 4: Simplify right side
    1,286.37x = 895,621.80
  5. Step 5: Solve for x
    x = 895,621.80/1,286.37
  6. Step 6: Final answer
    x = 696.24

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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.