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Finding the Fourth Proportional to 850.20, 1,266.51 and 775.32

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Solution

The fourth proportional to 850.20, 1,266.51 and 775.32 is: 1,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.20 : 1,266.51 = 775.32 : x
  2. Step 2: Convert to fraction form
    850.20/1,266.51 = 775.32/x
  3. Step 3: Cross multiply
    850.20x = 1,266.51 × 775.32
  4. Step 4: Simplify right side
    850.20x = 981,950.53
  5. Step 5: Solve for x
    x = 981,950.53/850.20
  6. Step 6: Final answer
    x = 1,154.96

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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.