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Finding the Fourth Proportional to 833.67, 1,249.89 and 285.71

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Solution

The fourth proportional to 833.67, 1,249.89 and 285.71 is: 428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.67 : 1,249.89 = 285.71 : x
  2. Step 2: Convert to fraction form
    833.67/1,249.89 = 285.71/x
  3. Step 3: Cross multiply
    833.67x = 1,249.89 × 285.71
  4. Step 4: Simplify right side
    833.67x = 357,099.82
  5. Step 5: Solve for x
    x = 357,099.82/833.67
  6. Step 6: Final answer
    x = 428.35

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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.