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Finding the Fourth Proportional to 1,354.45, 1,868.72 and 794.94

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Solution

The fourth proportional to 1,354.45, 1,868.72 and 794.94 is: 1,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.45 : 1,868.72 = 794.94 : x
  2. Step 2: Convert to fraction form
    1,354.45/1,868.72 = 794.94/x
  3. Step 3: Cross multiply
    1,354.45x = 1,868.72 × 794.94
  4. Step 4: Simplify right side
    1,354.45x = 1,485,519.81
  5. Step 5: Solve for x
    x = 1,485,519.81/1,354.45
  6. Step 6: Final answer
    x = 1,096.77

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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.