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Finding the Fourth Proportional to 1,374.69, 1,896.21 and 902.62

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Solution

The fourth proportional to 1,374.69, 1,896.21 and 902.62 is: 1,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.69 : 1,896.21 = 902.62 : x
  2. Step 2: Convert to fraction form
    1,374.69/1,896.21 = 902.62/x
  3. Step 3: Cross multiply
    1,374.69x = 1,896.21 × 902.62
  4. Step 4: Simplify right side
    1,374.69x = 1,711,557.07
  5. Step 5: Solve for x
    x = 1,711,557.07/1,374.69
  6. Step 6: Final answer
    x = 1,245.05

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