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Finding the Fourth Proportional to 1,384.77, 1,908.83 and 941.91

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Solution

The fourth proportional to 1,384.77, 1,908.83 and 941.91 is: 1,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.77 : 1,908.83 = 941.91 : x
  2. Step 2: Convert to fraction form
    1,384.77/1,908.83 = 941.91/x
  3. Step 3: Cross multiply
    1,384.77x = 1,908.83 × 941.91
  4. Step 4: Simplify right side
    1,384.77x = 1,797,941.36
  5. Step 5: Solve for x
    x = 1,797,941.36/1,384.77
  6. Step 6: Final answer
    x = 1,298.37

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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.