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Finding the Fourth Proportional to 779.40, 1,169.10 and 346.26

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Solution

The fourth proportional to 779.40, 1,169.10 and 346.26 is: 519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.40 : 1,169.10 = 346.26 : x
  2. Step 2: Convert to fraction form
    779.40/1,169.10 = 346.26/x
  3. Step 3: Cross multiply
    779.40x = 1,169.10 × 346.26
  4. Step 4: Simplify right side
    779.40x = 404,812.57
  5. Step 5: Solve for x
    x = 404,812.57/779.40
  6. Step 6: Final answer
    x = 519.39

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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.