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Finding the Fourth Proportional to 796.18, 1,194.47 and 309.10

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Solution

The fourth proportional to 796.18, 1,194.47 and 309.10 is: 463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.18 : 1,194.47 = 309.10 : x
  2. Step 2: Convert to fraction form
    796.18/1,194.47 = 309.10/x
  3. Step 3: Cross multiply
    796.18x = 1,194.47 × 309.10
  4. Step 4: Simplify right side
    796.18x = 369,210.68
  5. Step 5: Solve for x
    x = 369,210.68/796.18
  6. Step 6: Final answer
    x = 463.73

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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.