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Finding the Fourth Proportional to 669.87, 1,004.81 and 182.91

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Solution

The fourth proportional to 669.87, 1,004.81 and 182.91 is: 274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.87 : 1,004.81 = 182.91 : x
  2. Step 2: Convert to fraction form
    669.87/1,004.81 = 182.91/x
  3. Step 3: Cross multiply
    669.87x = 1,004.81 × 182.91
  4. Step 4: Simplify right side
    669.87x = 183,787.00
  5. Step 5: Solve for x
    x = 183,787.00/669.87
  6. Step 6: Final answer
    x = 274.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.