Home / 1,438.14-2,157.52-464.22

Finding the Fourth Proportional to 1,438.14, 2,157.52 and 464.22

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Solution

The fourth proportional to 1,438.14, 2,157.52 and 464.22 is: 696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.14 : 2,157.52 = 464.22 : x
  2. Step 2: Convert to fraction form
    1,438.14/2,157.52 = 464.22/x
  3. Step 3: Cross multiply
    1,438.14x = 2,157.52 × 464.22
  4. Step 4: Simplify right side
    1,438.14x = 1,001,563.93
  5. Step 5: Solve for x
    x = 1,001,563.93/1,438.14
  6. Step 6: Final answer
    x = 696.43

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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.