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Finding the Fourth Proportional to 943.94, 1,415.91 and 285.82

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Solution

The fourth proportional to 943.94, 1,415.91 and 285.82 is: 428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.94 : 1,415.91 = 285.82 : x
  2. Step 2: Convert to fraction form
    943.94/1,415.91 = 285.82/x
  3. Step 3: Cross multiply
    943.94x = 1,415.91 × 285.82
  4. Step 4: Simplify right side
    943.94x = 404,692.93
  5. Step 5: Solve for x
    x = 404,692.93/943.94
  6. Step 6: Final answer
    x = 428.73

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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.