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Finding the Fourth Proportional to 1,374.55, 1,895.64 and 1,228.75

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Solution

The fourth proportional to 1,374.55, 1,895.64 and 1,228.75 is: 1,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.55 : 1,895.64 = 1,228.75 : x
  2. Step 2: Convert to fraction form
    1,374.55/1,895.64 = 1,228.75/x
  3. Step 3: Cross multiply
    1,374.55x = 1,895.64 × 1,228.75
  4. Step 4: Simplify right side
    1,374.55x = 2,329,258.30
  5. Step 5: Solve for x
    x = 2,329,258.30/1,374.55
  6. Step 6: Final answer
    x = 1,694.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.