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Finding the Fourth Proportional to 794.36, 1,189.41 and 519.77

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Solution

The fourth proportional to 794.36, 1,189.41 and 519.77 is: 778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.36 : 1,189.41 = 519.77 : x
  2. Step 2: Convert to fraction form
    794.36/1,189.41 = 519.77/x
  3. Step 3: Cross multiply
    794.36x = 1,189.41 × 519.77
  4. Step 4: Simplify right side
    794.36x = 618,219.64
  5. Step 5: Solve for x
    x = 618,219.64/794.36
  6. Step 6: Final answer
    x = 778.26

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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.