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Finding the Fourth Proportional to 833.99, 1,249.61 and 285.87

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Solution

The fourth proportional to 833.99, 1,249.61 and 285.87 is: 428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.99 : 1,249.61 = 285.87 : x
  2. Step 2: Convert to fraction form
    833.99/1,249.61 = 285.87/x
  3. Step 3: Cross multiply
    833.99x = 1,249.61 × 285.87
  4. Step 4: Simplify right side
    833.99x = 357,226.01
  5. Step 5: Solve for x
    x = 357,226.01/833.99
  6. Step 6: Final answer
    x = 428.33

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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.