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Finding the Fourth Proportional to 1,644.50, 2,269.57 and 898.57

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Solution

The fourth proportional to 1,644.50, 2,269.57 and 898.57 is: 1,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.50 : 2,269.57 = 898.57 : x
  2. Step 2: Convert to fraction form
    1,644.50/2,269.57 = 898.57/x
  3. Step 3: Cross multiply
    1,644.50x = 2,269.57 × 898.57
  4. Step 4: Simplify right side
    1,644.50x = 2,039,378.70
  5. Step 5: Solve for x
    x = 2,039,378.70/1,644.50
  6. Step 6: Final answer
    x = 1,240.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.