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Finding the Fourth Proportional to 809.96, 1,119.30 and 654.44

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Solution

The fourth proportional to 809.96, 1,119.30 and 654.44 is: 904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.96 : 1,119.30 = 654.44 : x
  2. Step 2: Convert to fraction form
    809.96/1,119.30 = 654.44/x
  3. Step 3: Cross multiply
    809.96x = 1,119.30 × 654.44
  4. Step 4: Simplify right side
    809.96x = 732,514.69
  5. Step 5: Solve for x
    x = 732,514.69/809.96
  6. Step 6: Final answer
    x = 904.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.