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Finding the Fourth Proportional to 1,818.83, 2,728.86 and 722.60

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Solution

The fourth proportional to 1,818.83, 2,728.86 and 722.60 is: 1,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.83 : 2,728.86 = 722.60 : x
  2. Step 2: Convert to fraction form
    1,818.83/2,728.86 = 722.60/x
  3. Step 3: Cross multiply
    1,818.83x = 2,728.86 × 722.60
  4. Step 4: Simplify right side
    1,818.83x = 1,971,860.59
  5. Step 5: Solve for x
    x = 1,971,860.59/1,818.83
  6. Step 6: Final answer
    x = 1,084.14

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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.