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Finding the Fourth Proportional to 810.09, 1,208.82 and 722.83

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Solution

The fourth proportional to 810.09, 1,208.82 and 722.83 is: 1,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.09 : 1,208.82 = 722.83 : x
  2. Step 2: Convert to fraction form
    810.09/1,208.82 = 722.83/x
  3. Step 3: Cross multiply
    810.09x = 1,208.82 × 722.83
  4. Step 4: Simplify right side
    810.09x = 873,765.85
  5. Step 5: Solve for x
    x = 873,765.85/810.09
  6. Step 6: Final answer
    x = 1,078.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.