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Finding the Fourth Proportional to 852.75, 1,282.23 and 785.07

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Solution

The fourth proportional to 852.75, 1,282.23 and 785.07 is: 1,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.75 : 1,282.23 = 785.07 : x
  2. Step 2: Convert to fraction form
    852.75/1,282.23 = 785.07/x
  3. Step 3: Cross multiply
    852.75x = 1,282.23 × 785.07
  4. Step 4: Simplify right side
    852.75x = 1,006,640.31
  5. Step 5: Solve for x
    x = 1,006,640.31/852.75
  6. Step 6: Final answer
    x = 1,180.46

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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.