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Finding the Fourth Proportional to 3,030.69, 4,546.02 and 779.21

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Solution

The fourth proportional to 3,030.69, 4,546.02 and 779.21 is: 1,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.69 : 4,546.02 = 779.21 : x
  2. Step 2: Convert to fraction form
    3,030.69/4,546.02 = 779.21/x
  3. Step 3: Cross multiply
    3,030.69x = 4,546.02 × 779.21
  4. Step 4: Simplify right side
    3,030.69x = 3,542,316.58
  5. Step 5: Solve for x
    x = 3,542,316.58/3,030.69
  6. Step 6: Final answer
    x = 1,168.82

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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.