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Finding the Fourth Proportional to 2,445.54, 3,668.42 and 779.84

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Solution

The fourth proportional to 2,445.54, 3,668.42 and 779.84 is: 1,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.54 : 3,668.42 = 779.84 : x
  2. Step 2: Convert to fraction form
    2,445.54/3,668.42 = 779.84/x
  3. Step 3: Cross multiply
    2,445.54x = 3,668.42 × 779.84
  4. Step 4: Simplify right side
    2,445.54x = 2,860,780.65
  5. Step 5: Solve for x
    x = 2,860,780.65/2,445.54
  6. Step 6: Final answer
    x = 1,169.80

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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.