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Finding the Fourth Proportional to 852.92, 1,179.33 and 813.50

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Solution

The fourth proportional to 852.92, 1,179.33 and 813.50 is: 1,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.92 : 1,179.33 = 813.50 : x
  2. Step 2: Convert to fraction form
    852.92/1,179.33 = 813.50/x
  3. Step 3: Cross multiply
    852.92x = 1,179.33 × 813.50
  4. Step 4: Simplify right side
    852.92x = 959,384.96
  5. Step 5: Solve for x
    x = 959,384.96/852.92
  6. Step 6: Final answer
    x = 1,124.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.