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Finding the Fourth Proportional to 1,986.72, 2,980.10 and 600.20

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Solution

The fourth proportional to 1,986.72, 2,980.10 and 600.20 is: 900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.72 : 2,980.10 = 600.20 : x
  2. Step 2: Convert to fraction form
    1,986.72/2,980.10 = 600.20/x
  3. Step 3: Cross multiply
    1,986.72x = 2,980.10 × 600.20
  4. Step 4: Simplify right side
    1,986.72x = 1,788,656.02
  5. Step 5: Solve for x
    x = 1,788,656.02/1,986.72
  6. Step 6: Final answer
    x = 900.31

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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.