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Finding the Fourth Proportional to 782.75, 1,173.19 and 700.73

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Solution

The fourth proportional to 782.75, 1,173.19 and 700.73 is: 1,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.75 : 1,173.19 = 700.73 : x
  2. Step 2: Convert to fraction form
    782.75/1,173.19 = 700.73/x
  3. Step 3: Cross multiply
    782.75x = 1,173.19 × 700.73
  4. Step 4: Simplify right side
    782.75x = 822,089.43
  5. Step 5: Solve for x
    x = 822,089.43/782.75
  6. Step 6: Final answer
    x = 1,050.26

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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.