Home / 1,438.26-2,157.42-464.46

Finding the Fourth Proportional to 1,438.26, 2,157.42 and 464.46

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Solution

The fourth proportional to 1,438.26, 2,157.42 and 464.46 is: 696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.26 : 2,157.42 = 464.46 : x
  2. Step 2: Convert to fraction form
    1,438.26/2,157.42 = 464.46/x
  3. Step 3: Cross multiply
    1,438.26x = 2,157.42 × 464.46
  4. Step 4: Simplify right side
    1,438.26x = 1,002,035.29
  5. Step 5: Solve for x
    x = 1,002,035.29/1,438.26
  6. Step 6: Final answer
    x = 696.70

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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.