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Finding the Fourth Proportional to 863.99, 1,289.82 and 833.61

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Solution

The fourth proportional to 863.99, 1,289.82 and 833.61 is: 1,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.99 : 1,289.82 = 833.61 : x
  2. Step 2: Convert to fraction form
    863.99/1,289.82 = 833.61/x
  3. Step 3: Cross multiply
    863.99x = 1,289.82 × 833.61
  4. Step 4: Simplify right side
    863.99x = 1,075,206.85
  5. Step 5: Solve for x
    x = 1,075,206.85/863.99
  6. Step 6: Final answer
    x = 1,244.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.