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Finding the Fourth Proportional to 809.79, 1,212.17 and 654.42

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Solution

The fourth proportional to 809.79, 1,212.17 and 654.42 is: 979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.79 : 1,212.17 = 654.42 : x
  2. Step 2: Convert to fraction form
    809.79/1,212.17 = 654.42/x
  3. Step 3: Cross multiply
    809.79x = 1,212.17 × 654.42
  4. Step 4: Simplify right side
    809.79x = 793,269.93
  5. Step 5: Solve for x
    x = 793,269.93/809.79
  6. Step 6: Final answer
    x = 979.60

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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.