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Finding the Fourth Proportional to 1,644.80, 2,269.80 and 898.74

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Solution

The fourth proportional to 1,644.80, 2,269.80 and 898.74 is: 1,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.80 : 2,269.80 = 898.74 : x
  2. Step 2: Convert to fraction form
    1,644.80/2,269.80 = 898.74/x
  3. Step 3: Cross multiply
    1,644.80x = 2,269.80 × 898.74
  4. Step 4: Simplify right side
    1,644.80x = 2,039,960.05
  5. Step 5: Solve for x
    x = 2,039,960.05/1,644.80
  6. Step 6: Final answer
    x = 1,240.25

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1.5x scale

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.