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Finding the Fourth Proportional to 934.85, 1,401.86 and 285.44

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Solution

The fourth proportional to 934.85, 1,401.86 and 285.44 is: 428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.85 : 1,401.86 = 285.44 : x
  2. Step 2: Convert to fraction form
    934.85/1,401.86 = 285.44/x
  3. Step 3: Cross multiply
    934.85x = 1,401.86 × 285.44
  4. Step 4: Simplify right side
    934.85x = 400,140.62
  5. Step 5: Solve for x
    x = 400,140.62/934.85
  6. Step 6: Final answer
    x = 428.03

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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.