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Finding the Fourth Proportional to 2,969.90, 4,454.85 and 778.62

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Solution

The fourth proportional to 2,969.90, 4,454.85 and 778.62 is: 1,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.90 : 4,454.85 = 778.62 : x
  2. Step 2: Convert to fraction form
    2,969.90/4,454.85 = 778.62/x
  3. Step 3: Cross multiply
    2,969.90x = 4,454.85 × 778.62
  4. Step 4: Simplify right side
    2,969.90x = 3,468,635.31
  5. Step 5: Solve for x
    x = 3,468,635.31/2,969.90
  6. Step 6: Final answer
    x = 1,167.93

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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.