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Finding the Fourth Proportional to 1,797.74, 2,696.54 and 565.20

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Solution

The fourth proportional to 1,797.74, 2,696.54 and 565.20 is: 847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.74 : 2,696.54 = 565.20 : x
  2. Step 2: Convert to fraction form
    1,797.74/2,696.54 = 565.20/x
  3. Step 3: Cross multiply
    1,797.74x = 2,696.54 × 565.20
  4. Step 4: Simplify right side
    1,797.74x = 1,524,084.41
  5. Step 5: Solve for x
    x = 1,524,084.41/1,797.74
  6. Step 6: Final answer
    x = 847.78

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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.