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Finding the Fourth Proportional to 1,206.35, 1,809.66 and 384.33

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Solution

The fourth proportional to 1,206.35, 1,809.66 and 384.33 is: 576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.35 : 1,809.66 = 384.33 : x
  2. Step 2: Convert to fraction form
    1,206.35/1,809.66 = 384.33/x
  3. Step 3: Cross multiply
    1,206.35x = 1,809.66 × 384.33
  4. Step 4: Simplify right side
    1,206.35x = 695,506.63
  5. Step 5: Solve for x
    x = 695,506.63/1,206.35
  6. Step 6: Final answer
    x = 576.54

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