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Finding the Fourth Proportional to 806.51, 1,208.84 and 394.74

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Solution

The fourth proportional to 806.51, 1,208.84 and 394.74 is: 591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.51 : 1,208.84 = 394.74 : x
  2. Step 2: Convert to fraction form
    806.51/1,208.84 = 394.74/x
  3. Step 3: Cross multiply
    806.51x = 1,208.84 × 394.74
  4. Step 4: Simplify right side
    806.51x = 477,175.53
  5. Step 5: Solve for x
    x = 477,175.53/806.51
  6. Step 6: Final answer
    x = 591.66

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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.