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Finding the Fourth Proportional to 850.84, 1,269.98 and 790.78

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Solution

The fourth proportional to 850.84, 1,269.98 and 790.78 is: 1,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.84 : 1,269.98 = 790.78 : x
  2. Step 2: Convert to fraction form
    850.84/1,269.98 = 790.78/x
  3. Step 3: Cross multiply
    850.84x = 1,269.98 × 790.78
  4. Step 4: Simplify right side
    850.84x = 1,004,274.78
  5. Step 5: Solve for x
    x = 1,004,274.78/850.84
  6. Step 6: Final answer
    x = 1,180.33

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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.