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Finding the Fourth Proportional to 796.58, 1,188.08 and 782.74

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Solution

The fourth proportional to 796.58, 1,188.08 and 782.74 is: 1,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.58 : 1,188.08 = 782.74 : x
  2. Step 2: Convert to fraction form
    796.58/1,188.08 = 782.74/x
  3. Step 3: Cross multiply
    796.58x = 1,188.08 × 782.74
  4. Step 4: Simplify right side
    796.58x = 929,951.80
  5. Step 5: Solve for x
    x = 929,951.80/796.58
  6. Step 6: Final answer
    x = 1,167.44

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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.