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Finding the Fourth Proportional to 1,212.50, 1,673.25 and 660.50

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Solution

The fourth proportional to 1,212.50, 1,673.25 and 660.50 is: 911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.50 : 1,673.25 = 660.50 : x
  2. Step 2: Convert to fraction form
    1,212.50/1,673.25 = 660.50/x
  3. Step 3: Cross multiply
    1,212.50x = 1,673.25 × 660.50
  4. Step 4: Simplify right side
    1,212.50x = 1,105,181.63
  5. Step 5: Solve for x
    x = 1,105,181.63/1,212.50
  6. Step 6: Final answer
    x = 911.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.