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Finding the Fourth Proportional to 1,642.34, 2,462.20 and 820.20

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Solution

The fourth proportional to 1,642.34, 2,462.20 and 820.20 is: 1,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.34 : 2,462.20 = 820.20 : x
  2. Step 2: Convert to fraction form
    1,642.34/2,462.20 = 820.20/x
  3. Step 3: Cross multiply
    1,642.34x = 2,462.20 × 820.20
  4. Step 4: Simplify right side
    1,642.34x = 2,019,496.44
  5. Step 5: Solve for x
    x = 2,019,496.44/1,642.34
  6. Step 6: Final answer
    x = 1,229.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.