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Finding the Fourth Proportional to 779.18, 1,166.64 and 758.52

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Solution

The fourth proportional to 779.18, 1,166.64 and 758.52 is: 1,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.18 : 1,166.64 = 758.52 : x
  2. Step 2: Convert to fraction form
    779.18/1,166.64 = 758.52/x
  3. Step 3: Cross multiply
    779.18x = 1,166.64 × 758.52
  4. Step 4: Simplify right side
    779.18x = 884,915.98
  5. Step 5: Solve for x
    x = 884,915.98/779.18
  6. Step 6: Final answer
    x = 1,135.71

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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.