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Finding the Fourth Proportional to 1,189.83, 1,784.93 and 367.91

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Solution

The fourth proportional to 1,189.83, 1,784.93 and 367.91 is: 551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.83 : 1,784.93 = 367.91 : x
  2. Step 2: Convert to fraction form
    1,189.83/1,784.93 = 367.91/x
  3. Step 3: Cross multiply
    1,189.83x = 1,784.93 × 367.91
  4. Step 4: Simplify right side
    1,189.83x = 656,693.60
  5. Step 5: Solve for x
    x = 656,693.60/1,189.83
  6. Step 6: Final answer
    x = 551.92

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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.