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Finding the Fourth Proportional to 1,802.91, 2,704.74 and 570.46

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Solution

The fourth proportional to 1,802.91, 2,704.74 and 570.46 is: 855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.91 : 2,704.74 = 570.46 : x
  2. Step 2: Convert to fraction form
    1,802.91/2,704.74 = 570.46/x
  3. Step 3: Cross multiply
    1,802.91x = 2,704.74 × 570.46
  4. Step 4: Simplify right side
    1,802.91x = 1,542,945.98
  5. Step 5: Solve for x
    x = 1,542,945.98/1,802.91
  6. Step 6: Final answer
    x = 855.81

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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.