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Finding the Fourth Proportional to 984.02, 1,475.40 and 367.70

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Solution

The fourth proportional to 984.02, 1,475.40 and 367.70 is: 551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.02 : 1,475.40 = 367.70 : x
  2. Step 2: Convert to fraction form
    984.02/1,475.40 = 367.70/x
  3. Step 3: Cross multiply
    984.02x = 1,475.40 × 367.70
  4. Step 4: Simplify right side
    984.02x = 542,504.58
  5. Step 5: Solve for x
    x = 542,504.58/984.02
  6. Step 6: Final answer
    x = 551.31

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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.