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Finding the Fourth Proportional to 722.08, 1,086.76 and 540.44

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Solution

The fourth proportional to 722.08, 1,086.76 and 540.44 is: 813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.08 : 1,086.76 = 540.44 : x
  2. Step 2: Convert to fraction form
    722.08/1,086.76 = 540.44/x
  3. Step 3: Cross multiply
    722.08x = 1,086.76 × 540.44
  4. Step 4: Simplify right side
    722.08x = 587,328.57
  5. Step 5: Solve for x
    x = 587,328.57/722.08
  6. Step 6: Final answer
    x = 813.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.