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Finding the Fourth Proportional to 1,294.36, 1,941.72 and 428.56

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Solution

The fourth proportional to 1,294.36, 1,941.72 and 428.56 is: 642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.36 : 1,941.72 = 428.56 : x
  2. Step 2: Convert to fraction form
    1,294.36/1,941.72 = 428.56/x
  3. Step 3: Cross multiply
    1,294.36x = 1,941.72 × 428.56
  4. Step 4: Simplify right side
    1,294.36x = 832,143.52
  5. Step 5: Solve for x
    x = 832,143.52/1,294.36
  6. Step 6: Final answer
    x = 642.90

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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.