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Finding the Fourth Proportional to 796.56, 1,197 and 412.08

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Solution

The fourth proportional to 796.56, 1,197 and 412.08 is: 619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.56 : 1,197 = 412.08 : x
  2. Step 2: Convert to fraction form
    796.56/1,197 = 412.08/x
  3. Step 3: Cross multiply
    796.56x = 1,197 × 412.08
  4. Step 4: Simplify right side
    796.56x = 493,259.76
  5. Step 5: Solve for x
    x = 493,259.76/796.56
  6. Step 6: Final answer
    x = 619.24

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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.