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Finding the Fourth Proportional to 779.45, 1,074.94 and 613.36

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Solution

The fourth proportional to 779.45, 1,074.94 and 613.36 is: 845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.45 : 1,074.94 = 613.36 : x
  2. Step 2: Convert to fraction form
    779.45/1,074.94 = 613.36/x
  3. Step 3: Cross multiply
    779.45x = 1,074.94 × 613.36
  4. Step 4: Simplify right side
    779.45x = 659,322.13
  5. Step 5: Solve for x
    x = 659,322.13/779.45
  6. Step 6: Final answer
    x = 845.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.