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Finding the Fourth Proportional to 1,438.70, 2,157.66 and 398.43

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Solution

The fourth proportional to 1,438.70, 2,157.66 and 398.43 is: 597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.70 : 2,157.66 = 398.43 : x
  2. Step 2: Convert to fraction form
    1,438.70/2,157.66 = 398.43/x
  3. Step 3: Cross multiply
    1,438.70x = 2,157.66 × 398.43
  4. Step 4: Simplify right side
    1,438.70x = 859,676.47
  5. Step 5: Solve for x
    x = 859,676.47/1,438.70
  6. Step 6: Final answer
    x = 597.54

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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.