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Finding the Fourth Proportional to 1,294.43, 1,940.25 and 554.42

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Solution

The fourth proportional to 1,294.43, 1,940.25 and 554.42 is: 831.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.43 : 1,940.25 = 554.42 : x
  2. Step 2: Convert to fraction form
    1,294.43/1,940.25 = 554.42/x
  3. Step 3: Cross multiply
    1,294.43x = 1,940.25 × 554.42
  4. Step 4: Simplify right side
    1,294.43x = 1,075,720.33
  5. Step 5: Solve for x
    x = 1,075,720.33/1,294.43
  6. Step 6: Final answer
    x = 831.04

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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.