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Finding the Fourth Proportional to 833.87, 1,250.89 and 285.93

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Solution

The fourth proportional to 833.87, 1,250.89 and 285.93 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.87 : 1,250.89 = 285.93 : x
  2. Step 2: Convert to fraction form
    833.87/1,250.89 = 285.93/x
  3. Step 3: Cross multiply
    833.87x = 1,250.89 × 285.93
  4. Step 4: Simplify right side
    833.87x = 357,666.98
  5. Step 5: Solve for x
    x = 357,666.98/833.87
  6. Step 6: Final answer
    x = 428.92

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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.