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Finding the Fourth Proportional to 1,727.64, 2,591.10 and 494.73

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Solution

The fourth proportional to 1,727.64, 2,591.10 and 494.73 is: 741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.64 : 2,591.10 = 494.73 : x
  2. Step 2: Convert to fraction form
    1,727.64/2,591.10 = 494.73/x
  3. Step 3: Cross multiply
    1,727.64x = 2,591.10 × 494.73
  4. Step 4: Simplify right side
    1,727.64x = 1,281,894.90
  5. Step 5: Solve for x
    x = 1,281,894.90/1,727.64
  6. Step 6: Final answer
    x = 741.99

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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.