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Finding the Fourth Proportional to 1,438.96, 2,158.48 and 398.97

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Solution

The fourth proportional to 1,438.96, 2,158.48 and 398.97 is: 598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.96 : 2,158.48 = 398.97 : x
  2. Step 2: Convert to fraction form
    1,438.96/2,158.48 = 398.97/x
  3. Step 3: Cross multiply
    1,438.96x = 2,158.48 × 398.97
  4. Step 4: Simplify right side
    1,438.96x = 861,169.76
  5. Step 5: Solve for x
    x = 861,169.76/1,438.96
  6. Step 6: Final answer
    x = 598.47

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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.