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Finding the Fourth Proportional to 1,660.50, 2,477.25 and 1,520.64

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Solution

The fourth proportional to 1,660.50, 2,477.25 and 1,520.64 is: 2,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.50 : 2,477.25 = 1,520.64 : x
  2. Step 2: Convert to fraction form
    1,660.50/2,477.25 = 1,520.64/x
  3. Step 3: Cross multiply
    1,660.50x = 2,477.25 × 1,520.64
  4. Step 4: Simplify right side
    1,660.50x = 3,767,005.44
  5. Step 5: Solve for x
    x = 3,767,005.44/1,660.50
  6. Step 6: Final answer
    x = 2,268.60

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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.