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Finding the Fourth Proportional to 810.28, 1,212.78 and 444.16

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Solution

The fourth proportional to 810.28, 1,212.78 and 444.16 is: 664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.28 : 1,212.78 = 444.16 : x
  2. Step 2: Convert to fraction form
    810.28/1,212.78 = 444.16/x
  3. Step 3: Cross multiply
    810.28x = 1,212.78 × 444.16
  4. Step 4: Simplify right side
    810.28x = 538,668.36
  5. Step 5: Solve for x
    x = 538,668.36/810.28
  6. Step 6: Final answer
    x = 664.79

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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.