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Finding the Fourth Proportional to 1,206.14, 1,808.01 and 383.81

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Solution

The fourth proportional to 1,206.14, 1,808.01 and 383.81 is: 575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.14 : 1,808.01 = 383.81 : x
  2. Step 2: Convert to fraction form
    1,206.14/1,808.01 = 383.81/x
  3. Step 3: Cross multiply
    1,206.14x = 1,808.01 × 383.81
  4. Step 4: Simplify right side
    1,206.14x = 693,923.28
  5. Step 5: Solve for x
    x = 693,923.28/1,206.14
  6. Step 6: Final answer
    x = 575.33

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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.