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Finding the Fourth Proportional to 1,986.83, 2,980.26 and 600.18

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Solution

The fourth proportional to 1,986.83, 2,980.26 and 600.18 is: 900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.83 : 2,980.26 = 600.18 : x
  2. Step 2: Convert to fraction form
    1,986.83/2,980.26 = 600.18/x
  3. Step 3: Cross multiply
    1,986.83x = 2,980.26 × 600.18
  4. Step 4: Simplify right side
    1,986.83x = 1,788,683.52
  5. Step 5: Solve for x
    x = 1,788,683.52/1,986.83
  6. Step 6: Final answer
    x = 900.27

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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.