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Finding the Fourth Proportional to 797.81, 1,197.25 and 310.91

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Solution

The fourth proportional to 797.81, 1,197.25 and 310.91 is: 466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.81 : 1,197.25 = 310.91 : x
  2. Step 2: Convert to fraction form
    797.81/1,197.25 = 310.91/x
  3. Step 3: Cross multiply
    797.81x = 1,197.25 × 310.91
  4. Step 4: Simplify right side
    797.81x = 372,230.23
  5. Step 5: Solve for x
    x = 372,230.23/797.81
  6. Step 6: Final answer
    x = 466.57

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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.