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Finding the Fourth Proportional to 2,385.89, 3,579.39 and 998.45

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Solution

The fourth proportional to 2,385.89, 3,579.39 and 998.45 is: 1,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.89 : 3,579.39 = 998.45 : x
  2. Step 2: Convert to fraction form
    2,385.89/3,579.39 = 998.45/x
  3. Step 3: Cross multiply
    2,385.89x = 3,579.39 × 998.45
  4. Step 4: Simplify right side
    2,385.89x = 3,573,824.05
  5. Step 5: Solve for x
    x = 3,573,824.05/2,385.89
  6. Step 6: Final answer
    x = 1,497.90

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1.5x scale

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.