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Finding the Fourth Proportional to 1,166.73, 1,750.50 and 778.29

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Solution

The fourth proportional to 1,166.73, 1,750.50 and 778.29 is: 1,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.73 : 1,750.50 = 778.29 : x
  2. Step 2: Convert to fraction form
    1,166.73/1,750.50 = 778.29/x
  3. Step 3: Cross multiply
    1,166.73x = 1,750.50 × 778.29
  4. Step 4: Simplify right side
    1,166.73x = 1,362,396.65
  5. Step 5: Solve for x
    x = 1,362,396.65/1,166.73
  6. Step 6: Final answer
    x = 1,167.71

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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.