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Finding the Fourth Proportional to 1,877.33, 2,816.37 and 578.75

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Solution

The fourth proportional to 1,877.33, 2,816.37 and 578.75 is: 868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.33 : 2,816.37 = 578.75 : x
  2. Step 2: Convert to fraction form
    1,877.33/2,816.37 = 578.75/x
  3. Step 3: Cross multiply
    1,877.33x = 2,816.37 × 578.75
  4. Step 4: Simplify right side
    1,877.33x = 1,629,974.14
  5. Step 5: Solve for x
    x = 1,629,974.14/1,877.33
  6. Step 6: Final answer
    x = 868.24

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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.