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Finding the Fourth Proportional to 1,642.34, 2,462.21 and 820.19

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Solution

The fourth proportional to 1,642.34, 2,462.21 and 820.19 is: 1,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.34 : 2,462.21 = 820.19 : x
  2. Step 2: Convert to fraction form
    1,642.34/2,462.21 = 820.19/x
  3. Step 3: Cross multiply
    1,642.34x = 2,462.21 × 820.19
  4. Step 4: Simplify right side
    1,642.34x = 2,019,480.02
  5. Step 5: Solve for x
    x = 2,019,480.02/1,642.34
  6. Step 6: Final answer
    x = 1,229.64

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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.