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Finding the Fourth Proportional to 1,720.72, 2,579.46 and 854.20

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Solution

The fourth proportional to 1,720.72, 2,579.46 and 854.20 is: 1,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.72 : 2,579.46 = 854.20 : x
  2. Step 2: Convert to fraction form
    1,720.72/2,579.46 = 854.20/x
  3. Step 3: Cross multiply
    1,720.72x = 2,579.46 × 854.20
  4. Step 4: Simplify right side
    1,720.72x = 2,203,374.73
  5. Step 5: Solve for x
    x = 2,203,374.73/1,720.72
  6. Step 6: Final answer
    x = 1,280.50

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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.