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Finding the Fourth Proportional to 2,961.88, 4,442.98 and 770.62

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Solution

The fourth proportional to 2,961.88, 4,442.98 and 770.62 is: 1,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.88 : 4,442.98 = 770.62 : x
  2. Step 2: Convert to fraction form
    2,961.88/4,442.98 = 770.62/x
  3. Step 3: Cross multiply
    2,961.88x = 4,442.98 × 770.62
  4. Step 4: Simplify right side
    2,961.88x = 3,423,849.25
  5. Step 5: Solve for x
    x = 3,423,849.25/2,961.88
  6. Step 6: Final answer
    x = 1,155.97

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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.