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Finding the Fourth Proportional to 1,792.50, 2,688.89 and 638.25

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Solution

The fourth proportional to 1,792.50, 2,688.89 and 638.25 is: 957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.50 : 2,688.89 = 638.25 : x
  2. Step 2: Convert to fraction form
    1,792.50/2,688.89 = 638.25/x
  3. Step 3: Cross multiply
    1,792.50x = 2,688.89 × 638.25
  4. Step 4: Simplify right side
    1,792.50x = 1,716,180.85
  5. Step 5: Solve for x
    x = 1,716,180.85/1,792.50
  6. Step 6: Final answer
    x = 957.42

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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.