Home / 1,438.14-2,157.43-464.34

Finding the Fourth Proportional to 1,438.14, 2,157.43 and 464.34

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Solution

The fourth proportional to 1,438.14, 2,157.43 and 464.34 is: 696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.14 : 2,157.43 = 464.34 : x
  2. Step 2: Convert to fraction form
    1,438.14/2,157.43 = 464.34/x
  3. Step 3: Cross multiply
    1,438.14x = 2,157.43 × 464.34
  4. Step 4: Simplify right side
    1,438.14x = 1,001,781.05
  5. Step 5: Solve for x
    x = 1,001,781.05/1,438.14
  6. Step 6: Final answer
    x = 696.58

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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.