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Finding the Fourth Proportional to 1,728.29, 2,591.95 and 574.05

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Solution

The fourth proportional to 1,728.29, 2,591.95 and 574.05 is: 860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.29 : 2,591.95 = 574.05 : x
  2. Step 2: Convert to fraction form
    1,728.29/2,591.95 = 574.05/x
  3. Step 3: Cross multiply
    1,728.29x = 2,591.95 × 574.05
  4. Step 4: Simplify right side
    1,728.29x = 1,487,908.90
  5. Step 5: Solve for x
    x = 1,487,908.90/1,728.29
  6. Step 6: Final answer
    x = 860.91

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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.