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Finding the Fourth Proportional to 806.76, 1,208.04 and 441.64

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Solution

The fourth proportional to 806.76, 1,208.04 and 441.64 is: 661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.76 : 1,208.04 = 441.64 : x
  2. Step 2: Convert to fraction form
    806.76/1,208.04 = 441.64/x
  3. Step 3: Cross multiply
    806.76x = 1,208.04 × 441.64
  4. Step 4: Simplify right side
    806.76x = 533,518.79
  5. Step 5: Solve for x
    x = 533,518.79/806.76
  6. Step 6: Final answer
    x = 661.31

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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.