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Finding the Fourth Proportional to 850.26, 1,273.23 and 778.98

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Solution

The fourth proportional to 850.26, 1,273.23 and 778.98 is: 1,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.26 : 1,273.23 = 778.98 : x
  2. Step 2: Convert to fraction form
    850.26/1,273.23 = 778.98/x
  3. Step 3: Cross multiply
    850.26x = 1,273.23 × 778.98
  4. Step 4: Simplify right side
    850.26x = 991,820.71
  5. Step 5: Solve for x
    x = 991,820.71/850.26
  6. Step 6: Final answer
    x = 1,166.49

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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.