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Finding the Fourth Proportional to 453.69, 681.75 and 440.33

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Solution

The fourth proportional to 453.69, 681.75 and 440.33 is: 661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.69 : 681.75 = 440.33 : x
  2. Step 2: Convert to fraction form
    453.69/681.75 = 440.33/x
  3. Step 3: Cross multiply
    453.69x = 681.75 × 440.33
  4. Step 4: Simplify right side
    453.69x = 300,191.57
  5. Step 5: Solve for x
    x = 300,191.57/453.69
  6. Step 6: Final answer
    x = 661.67

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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.