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Finding the Fourth Proportional to 1,792.48, 2,689 and 559.64

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Solution

The fourth proportional to 1,792.48, 2,689 and 559.64 is: 839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.48 : 2,689 = 559.64 : x
  2. Step 2: Convert to fraction form
    1,792.48/2,689 = 559.64/x
  3. Step 3: Cross multiply
    1,792.48x = 2,689 × 559.64
  4. Step 4: Simplify right side
    1,792.48x = 1,504,871.96
  5. Step 5: Solve for x
    x = 1,504,871.96/1,792.48
  6. Step 6: Final answer
    x = 839.55

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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.