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Finding the Fourth Proportional to 934.67, 1,401.95 and 285.38

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Solution

The fourth proportional to 934.67, 1,401.95 and 285.38 is: 428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.67 : 1,401.95 = 285.38 : x
  2. Step 2: Convert to fraction form
    934.67/1,401.95 = 285.38/x
  3. Step 3: Cross multiply
    934.67x = 1,401.95 × 285.38
  4. Step 4: Simplify right side
    934.67x = 400,080.05
  5. Step 5: Solve for x
    x = 400,080.05/934.67
  6. Step 6: Final answer
    x = 428.05

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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.