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Finding the Fourth Proportional to 850.20, 1,275.26 and 645.14

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Solution

The fourth proportional to 850.20, 1,275.26 and 645.14 is: 967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.20 : 1,275.26 = 645.14 : x
  2. Step 2: Convert to fraction form
    850.20/1,275.26 = 645.14/x
  3. Step 3: Cross multiply
    850.20x = 1,275.26 × 645.14
  4. Step 4: Simplify right side
    850.20x = 822,721.24
  5. Step 5: Solve for x
    x = 822,721.24/850.20
  6. Step 6: Final answer
    x = 967.68

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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.