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Finding the Fourth Proportional to 806.76, 1,209.83 and 548.16

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Solution

The fourth proportional to 806.76, 1,209.83 and 548.16 is: 822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.76 : 1,209.83 = 548.16 : x
  2. Step 2: Convert to fraction form
    806.76/1,209.83 = 548.16/x
  3. Step 3: Cross multiply
    806.76x = 1,209.83 × 548.16
  4. Step 4: Simplify right side
    806.76x = 663,177.67
  5. Step 5: Solve for x
    x = 663,177.67/806.76
  6. Step 6: Final answer
    x = 822.03

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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.