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Finding the Fourth Proportional to 800.90, 1,200.93 and 367.75

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Solution

The fourth proportional to 800.90, 1,200.93 and 367.75 is: 551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.90 : 1,200.93 = 367.75 : x
  2. Step 2: Convert to fraction form
    800.90/1,200.93 = 367.75/x
  3. Step 3: Cross multiply
    800.90x = 1,200.93 × 367.75
  4. Step 4: Simplify right side
    800.90x = 441,642.01
  5. Step 5: Solve for x
    x = 441,642.01/800.90
  6. Step 6: Final answer
    x = 551.43

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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.