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Finding the Fourth Proportional to 1,012.41, 1,516.25 and 779.45

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Solution

The fourth proportional to 1,012.41, 1,516.25 and 779.45 is: 1,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.41 : 1,516.25 = 779.45 : x
  2. Step 2: Convert to fraction form
    1,012.41/1,516.25 = 779.45/x
  3. Step 3: Cross multiply
    1,012.41x = 1,516.25 × 779.45
  4. Step 4: Simplify right side
    1,012.41x = 1,181,846.80
  5. Step 5: Solve for x
    x = 1,181,846.80/1,012.41
  6. Step 6: Final answer
    x = 1,167.36

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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.