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Finding the Fourth Proportional to 1,493.56, 2,240.50 and 845.56

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Solution

The fourth proportional to 1,493.56, 2,240.50 and 845.56 is: 1,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.56 : 2,240.50 = 845.56 : x
  2. Step 2: Convert to fraction form
    1,493.56/2,240.50 = 845.56/x
  3. Step 3: Cross multiply
    1,493.56x = 2,240.50 × 845.56
  4. Step 4: Simplify right side
    1,493.56x = 1,894,477.18
  5. Step 5: Solve for x
    x = 1,894,477.18/1,493.56
  6. Step 6: Final answer
    x = 1,268.43

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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.