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Finding the Fourth Proportional to 1,792.20, 2,688.09 and 559.50

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Solution

The fourth proportional to 1,792.20, 2,688.09 and 559.50 is: 839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.20 : 2,688.09 = 559.50 : x
  2. Step 2: Convert to fraction form
    1,792.20/2,688.09 = 559.50/x
  3. Step 3: Cross multiply
    1,792.20x = 2,688.09 × 559.50
  4. Step 4: Simplify right side
    1,792.20x = 1,503,986.36
  5. Step 5: Solve for x
    x = 1,503,986.36/1,792.20
  6. Step 6: Final answer
    x = 839.18

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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.