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Finding the Fourth Proportional to 1,645.13, 2,468.91 and 779.45

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Solution

The fourth proportional to 1,645.13, 2,468.91 and 779.45 is: 1,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.13 : 2,468.91 = 779.45 : x
  2. Step 2: Convert to fraction form
    1,645.13/2,468.91 = 779.45/x
  3. Step 3: Cross multiply
    1,645.13x = 2,468.91 × 779.45
  4. Step 4: Simplify right side
    1,645.13x = 1,924,379.55
  5. Step 5: Solve for x
    x = 1,924,379.55/1,645.13
  6. Step 6: Final answer
    x = 1,169.75

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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.