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Finding the Fourth Proportional to 806.41, 1,209.69 and 258.46

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Solution

The fourth proportional to 806.41, 1,209.69 and 258.46 is: 387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.41 : 1,209.69 = 258.46 : x
  2. Step 2: Convert to fraction form
    806.41/1,209.69 = 258.46/x
  3. Step 3: Cross multiply
    806.41x = 1,209.69 × 258.46
  4. Step 4: Simplify right side
    806.41x = 312,656.48
  5. Step 5: Solve for x
    x = 312,656.48/806.41
  6. Step 6: Final answer
    x = 387.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.