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Finding the Fourth Proportional to 1,878.03, 2,817.05 and 722.97

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Solution

The fourth proportional to 1,878.03, 2,817.05 and 722.97 is: 1,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.03 : 2,817.05 = 722.97 : x
  2. Step 2: Convert to fraction form
    1,878.03/2,817.05 = 722.97/x
  3. Step 3: Cross multiply
    1,878.03x = 2,817.05 × 722.97
  4. Step 4: Simplify right side
    1,878.03x = 2,036,639.02
  5. Step 5: Solve for x
    x = 2,036,639.02/1,878.03
  6. Step 6: Final answer
    x = 1,084.46

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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.