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Finding the Fourth Proportional to 1,449.52, 2,000.52 and 820.08

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Solution

The fourth proportional to 1,449.52, 2,000.52 and 820.08 is: 1,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.52 : 2,000.52 = 820.08 : x
  2. Step 2: Convert to fraction form
    1,449.52/2,000.52 = 820.08/x
  3. Step 3: Cross multiply
    1,449.52x = 2,000.52 × 820.08
  4. Step 4: Simplify right side
    1,449.52x = 1,640,586.44
  5. Step 5: Solve for x
    x = 1,640,586.44/1,449.52
  6. Step 6: Final answer
    x = 1,131.81

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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.