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Finding the Fourth Proportional to 796.86, 1,195.30 and 283.50

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Solution

The fourth proportional to 796.86, 1,195.30 and 283.50 is: 425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.86 : 1,195.30 = 283.50 : x
  2. Step 2: Convert to fraction form
    796.86/1,195.30 = 283.50/x
  3. Step 3: Cross multiply
    796.86x = 1,195.30 × 283.50
  4. Step 4: Simplify right side
    796.86x = 338,867.55
  5. Step 5: Solve for x
    x = 338,867.55/796.86
  6. Step 6: Final answer
    x = 425.25

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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.