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Finding the Fourth Proportional to 943.57, 1,414.80 and 285.25

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Solution

The fourth proportional to 943.57, 1,414.80 and 285.25 is: 427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.57 : 1,414.80 = 285.25 : x
  2. Step 2: Convert to fraction form
    943.57/1,414.80 = 285.25/x
  3. Step 3: Cross multiply
    943.57x = 1,414.80 × 285.25
  4. Step 4: Simplify right side
    943.57x = 403,574.54
  5. Step 5: Solve for x
    x = 403,574.54/943.57
  6. Step 6: Final answer
    x = 427.71

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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.