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Finding the Fourth Proportional to 1,888.25, 2,832.17 and 655.56

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Solution

The fourth proportional to 1,888.25, 2,832.17 and 655.56 is: 983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.25 : 2,832.17 = 655.56 : x
  2. Step 2: Convert to fraction form
    1,888.25/2,832.17 = 655.56/x
  3. Step 3: Cross multiply
    1,888.25x = 2,832.17 × 655.56
  4. Step 4: Simplify right side
    1,888.25x = 1,856,654.09
  5. Step 5: Solve for x
    x = 1,856,654.09/1,888.25
  6. Step 6: Final answer
    x = 983.27

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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.