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Finding the Fourth Proportional to 1,208.65, 1,812.91 and 386.89

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Solution

The fourth proportional to 1,208.65, 1,812.91 and 386.89 is: 580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.65 : 1,812.91 = 386.89 : x
  2. Step 2: Convert to fraction form
    1,208.65/1,812.91 = 386.89/x
  3. Step 3: Cross multiply
    1,208.65x = 1,812.91 × 386.89
  4. Step 4: Simplify right side
    1,208.65x = 701,396.75
  5. Step 5: Solve for x
    x = 701,396.75/1,208.65
  6. Step 6: Final answer
    x = 580.31

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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.