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Finding the Fourth Proportional to 1,485.20, 2,049.52 and 855.64

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Solution

The fourth proportional to 1,485.20, 2,049.52 and 855.64 is: 1,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.20 : 2,049.52 = 855.64 : x
  2. Step 2: Convert to fraction form
    1,485.20/2,049.52 = 855.64/x
  3. Step 3: Cross multiply
    1,485.20x = 2,049.52 × 855.64
  4. Step 4: Simplify right side
    1,485.20x = 1,753,651.29
  5. Step 5: Solve for x
    x = 1,753,651.29/1,485.20
  6. Step 6: Final answer
    x = 1,180.75

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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.