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Finding the Fourth Proportional to 797.32, 1,195.26 and 412.20

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Solution

The fourth proportional to 797.32, 1,195.26 and 412.20 is: 617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.32 : 1,195.26 = 412.20 : x
  2. Step 2: Convert to fraction form
    797.32/1,195.26 = 412.20/x
  3. Step 3: Cross multiply
    797.32x = 1,195.26 × 412.20
  4. Step 4: Simplify right side
    797.32x = 492,686.17
  5. Step 5: Solve for x
    x = 492,686.17/797.32
  6. Step 6: Final answer
    x = 617.93

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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.