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Finding the Fourth Proportional to 862.67, 1,182.19 and 779.63

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Solution

The fourth proportional to 862.67, 1,182.19 and 779.63 is: 1,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.67 : 1,182.19 = 779.63 : x
  2. Step 2: Convert to fraction form
    862.67/1,182.19 = 779.63/x
  3. Step 3: Cross multiply
    862.67x = 1,182.19 × 779.63
  4. Step 4: Simplify right side
    862.67x = 921,667.19
  5. Step 5: Solve for x
    x = 921,667.19/862.67
  6. Step 6: Final answer
    x = 1,068.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.