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Finding the Fourth Proportional to 960.85, 1,442.41 and 808.67

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Solution

The fourth proportional to 960.85, 1,442.41 and 808.67 is: 1,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.85 : 1,442.41 = 808.67 : x
  2. Step 2: Convert to fraction form
    960.85/1,442.41 = 808.67/x
  3. Step 3: Cross multiply
    960.85x = 1,442.41 × 808.67
  4. Step 4: Simplify right side
    960.85x = 1,166,427.17
  5. Step 5: Solve for x
    x = 1,166,427.17/960.85
  6. Step 6: Final answer
    x = 1,213.96

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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.