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Finding the Fourth Proportional to 1,630.08, 2,440.89 and 898.14

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Solution

The fourth proportional to 1,630.08, 2,440.89 and 898.14 is: 1,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.08 : 2,440.89 = 898.14 : x
  2. Step 2: Convert to fraction form
    1,630.08/2,440.89 = 898.14/x
  3. Step 3: Cross multiply
    1,630.08x = 2,440.89 × 898.14
  4. Step 4: Simplify right side
    1,630.08x = 2,192,260.94
  5. Step 5: Solve for x
    x = 2,192,260.94/1,630.08
  6. Step 6: Final answer
    x = 1,344.88

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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.