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Finding the Fourth Proportional to 1,231.56, 1,847.58 and 654.84

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Solution

The fourth proportional to 1,231.56, 1,847.58 and 654.84 is: 982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.56 : 1,847.58 = 654.84 : x
  2. Step 2: Convert to fraction form
    1,231.56/1,847.58 = 654.84/x
  3. Step 3: Cross multiply
    1,231.56x = 1,847.58 × 654.84
  4. Step 4: Simplify right side
    1,231.56x = 1,209,869.29
  5. Step 5: Solve for x
    x = 1,209,869.29/1,231.56
  6. Step 6: Final answer
    x = 982.39

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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.