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Finding the Fourth Proportional to 1,982.63, 2,974.22 and 595.81

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Solution

The fourth proportional to 1,982.63, 2,974.22 and 595.81 is: 893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.63 : 2,974.22 = 595.81 : x
  2. Step 2: Convert to fraction form
    1,982.63/2,974.22 = 595.81/x
  3. Step 3: Cross multiply
    1,982.63x = 2,974.22 × 595.81
  4. Step 4: Simplify right side
    1,982.63x = 1,772,056.26
  5. Step 5: Solve for x
    x = 1,772,056.26/1,982.63
  6. Step 6: Final answer
    x = 893.79

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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.