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Finding the Fourth Proportional to 796.82, 1,188.45 and 782.99

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Solution

The fourth proportional to 796.82, 1,188.45 and 782.99 is: 1,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.82 : 1,188.45 = 782.99 : x
  2. Step 2: Convert to fraction form
    796.82/1,188.45 = 782.99/x
  3. Step 3: Cross multiply
    796.82x = 1,188.45 × 782.99
  4. Step 4: Simplify right side
    796.82x = 930,538.52
  5. Step 5: Solve for x
    x = 930,538.52/796.82
  6. Step 6: Final answer
    x = 1,167.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.