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Finding the Fourth Proportional to 1,591.98, 2,388.12 and 421.98

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Solution

The fourth proportional to 1,591.98, 2,388.12 and 421.98 is: 633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.98 : 2,388.12 = 421.98 : x
  2. Step 2: Convert to fraction form
    1,591.98/2,388.12 = 421.98/x
  3. Step 3: Cross multiply
    1,591.98x = 2,388.12 × 421.98
  4. Step 4: Simplify right side
    1,591.98x = 1,007,738.88
  5. Step 5: Solve for x
    x = 1,007,738.88/1,591.98
  6. Step 6: Final answer
    x = 633.01

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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.