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Finding the Fourth Proportional to 850.80, 1,166.58 and 767.58

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Solution

The fourth proportional to 850.80, 1,166.58 and 767.58 is: 1,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.80 : 1,166.58 = 767.58 : x
  2. Step 2: Convert to fraction form
    850.80/1,166.58 = 767.58/x
  3. Step 3: Cross multiply
    850.80x = 1,166.58 × 767.58
  4. Step 4: Simplify right side
    850.80x = 895,443.48
  5. Step 5: Solve for x
    x = 895,443.48/850.80
  6. Step 6: Final answer
    x = 1,052.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.