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Finding the Fourth Proportional to 984.45, 1,474.71 and 544.62

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Solution

The fourth proportional to 984.45, 1,474.71 and 544.62 is: 815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.45 : 1,474.71 = 544.62 : x
  2. Step 2: Convert to fraction form
    984.45/1,474.71 = 544.62/x
  3. Step 3: Cross multiply
    984.45x = 1,474.71 × 544.62
  4. Step 4: Simplify right side
    984.45x = 803,160.05
  5. Step 5: Solve for x
    x = 803,160.05/984.45
  6. Step 6: Final answer
    x = 815.84

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Why These Related Problems?

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