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Finding the Fourth Proportional to 779.08, 1,169.06 and 346.22

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Solution

The fourth proportional to 779.08, 1,169.06 and 346.22 is: 519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.08 : 1,169.06 = 346.22 : x
  2. Step 2: Convert to fraction form
    779.08/1,169.06 = 346.22/x
  3. Step 3: Cross multiply
    779.08x = 1,169.06 × 346.22
  4. Step 4: Simplify right side
    779.08x = 404,751.95
  5. Step 5: Solve for x
    x = 404,751.95/779.08
  6. Step 6: Final answer
    x = 519.53

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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.