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Finding the Fourth Proportional to 806.89, 1,210.48 and 259.21

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Solution

The fourth proportional to 806.89, 1,210.48 and 259.21 is: 388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.89 : 1,210.48 = 259.21 : x
  2. Step 2: Convert to fraction form
    806.89/1,210.48 = 259.21/x
  3. Step 3: Cross multiply
    806.89x = 1,210.48 × 259.21
  4. Step 4: Simplify right side
    806.89x = 313,768.52
  5. Step 5: Solve for x
    x = 313,768.52/806.89
  6. Step 6: Final answer
    x = 388.86

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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.