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Finding the Fourth Proportional to 456.33, 685.41 and 445.40

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Solution

The fourth proportional to 456.33, 685.41 and 445.40 is: 668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.33 : 685.41 = 445.40 : x
  2. Step 2: Convert to fraction form
    456.33/685.41 = 445.40/x
  3. Step 3: Cross multiply
    456.33x = 685.41 × 445.40
  4. Step 4: Simplify right side
    456.33x = 305,281.59
  5. Step 5: Solve for x
    x = 305,281.59/456.33
  6. Step 6: Final answer
    x = 668.99

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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.