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Finding the Fourth Proportional to 797.21, 1,195.51 and 310.20

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Solution

The fourth proportional to 797.21, 1,195.51 and 310.20 is: 465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.21 : 1,195.51 = 310.20 : x
  2. Step 2: Convert to fraction form
    797.21/1,195.51 = 310.20/x
  3. Step 3: Cross multiply
    797.21x = 1,195.51 × 310.20
  4. Step 4: Simplify right side
    797.21x = 370,847.20
  5. Step 5: Solve for x
    x = 370,847.20/797.21
  6. Step 6: Final answer
    x = 465.18

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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.