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Finding the Fourth Proportional to 1,399.53, 1,930.78 and 902.46

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Solution

The fourth proportional to 1,399.53, 1,930.78 and 902.46 is: 1,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.53 : 1,930.78 = 902.46 : x
  2. Step 2: Convert to fraction form
    1,399.53/1,930.78 = 902.46/x
  3. Step 3: Cross multiply
    1,399.53x = 1,930.78 × 902.46
  4. Step 4: Simplify right side
    1,399.53x = 1,742,451.72
  5. Step 5: Solve for x
    x = 1,742,451.72/1,399.53
  6. Step 6: Final answer
    x = 1,245.03

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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.