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Finding the Fourth Proportional to 1,641.25, 2,460.05 and 820.21

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Solution

The fourth proportional to 1,641.25, 2,460.05 and 820.21 is: 1,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.25 : 2,460.05 = 820.21 : x
  2. Step 2: Convert to fraction form
    1,641.25/2,460.05 = 820.21/x
  3. Step 3: Cross multiply
    1,641.25x = 2,460.05 × 820.21
  4. Step 4: Simplify right side
    1,641.25x = 2,017,757.61
  5. Step 5: Solve for x
    x = 2,017,757.61/1,641.25
  6. Step 6: Final answer
    x = 1,229.40

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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.