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Finding the Fourth Proportional to 1,644.56, 2,453.74 and 1,528.40

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Solution

The fourth proportional to 1,644.56, 2,453.74 and 1,528.40 is: 2,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.56 : 2,453.74 = 1,528.40 : x
  2. Step 2: Convert to fraction form
    1,644.56/2,453.74 = 1,528.40/x
  3. Step 3: Cross multiply
    1,644.56x = 2,453.74 × 1,528.40
  4. Step 4: Simplify right side
    1,644.56x = 3,750,296.22
  5. Step 5: Solve for x
    x = 3,750,296.22/1,644.56
  6. Step 6: Final answer
    x = 2,280.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.