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Finding the Fourth Proportional to 1,052.80, 1,578.59 and 504.73

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Solution

The fourth proportional to 1,052.80, 1,578.59 and 504.73 is: 756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.80 : 1,578.59 = 504.73 : x
  2. Step 2: Convert to fraction form
    1,052.80/1,578.59 = 504.73/x
  3. Step 3: Cross multiply
    1,052.80x = 1,578.59 × 504.73
  4. Step 4: Simplify right side
    1,052.80x = 796,763.07
  5. Step 5: Solve for x
    x = 796,763.07/1,052.80
  6. Step 6: Final answer
    x = 756.81

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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.