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Finding the Fourth Proportional to 806.06, 1,208.43 and 632.22

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Solution

The fourth proportional to 806.06, 1,208.43 and 632.22 is: 947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.06 : 1,208.43 = 632.22 : x
  2. Step 2: Convert to fraction form
    806.06/1,208.43 = 632.22/x
  3. Step 3: Cross multiply
    806.06x = 1,208.43 × 632.22
  4. Step 4: Simplify right side
    806.06x = 763,993.61
  5. Step 5: Solve for x
    x = 763,993.61/806.06
  6. Step 6: Final answer
    x = 947.82

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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.