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Finding the Fourth Proportional to 1,644.65, 2,269.54 and 898.60

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Solution

The fourth proportional to 1,644.65, 2,269.54 and 898.60 is: 1,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.65 : 2,269.54 = 898.60 : x
  2. Step 2: Convert to fraction form
    1,644.65/2,269.54 = 898.60/x
  3. Step 3: Cross multiply
    1,644.65x = 2,269.54 × 898.60
  4. Step 4: Simplify right side
    1,644.65x = 2,039,412.60
  5. Step 5: Solve for x
    x = 2,039,412.60/1,644.65
  6. Step 6: Final answer
    x = 1,240.03

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