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Finding the Fourth Proportional to 809.96, 1,118.22 and 515.48

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Solution

The fourth proportional to 809.96, 1,118.22 and 515.48 is: 711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.96 : 1,118.22 = 515.48 : x
  2. Step 2: Convert to fraction form
    809.96/1,118.22 = 515.48/x
  3. Step 3: Cross multiply
    809.96x = 1,118.22 × 515.48
  4. Step 4: Simplify right side
    809.96x = 576,420.05
  5. Step 5: Solve for x
    x = 576,420.05/809.96
  6. Step 6: Final answer
    x = 711.66

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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.