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Finding the Fourth Proportional to 960.68, 1,442.01 and 851.67

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Solution

The fourth proportional to 960.68, 1,442.01 and 851.67 is: 1,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.68 : 1,442.01 = 851.67 : x
  2. Step 2: Convert to fraction form
    960.68/1,442.01 = 851.67/x
  3. Step 3: Cross multiply
    960.68x = 1,442.01 × 851.67
  4. Step 4: Simplify right side
    960.68x = 1,228,116.66
  5. Step 5: Solve for x
    x = 1,228,116.66/960.68
  6. Step 6: Final answer
    x = 1,278.38

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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.