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Finding the Fourth Proportional to 1,728.06, 2,592.50 and 573.82

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Solution

The fourth proportional to 1,728.06, 2,592.50 and 573.82 is: 860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.06 : 2,592.50 = 573.82 : x
  2. Step 2: Convert to fraction form
    1,728.06/2,592.50 = 573.82/x
  3. Step 3: Cross multiply
    1,728.06x = 2,592.50 × 573.82
  4. Step 4: Simplify right side
    1,728.06x = 1,487,628.35
  5. Step 5: Solve for x
    x = 1,487,628.35/1,728.06
  6. Step 6: Final answer
    x = 860.87

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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.