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Finding the Fourth Proportional to 668.58, 923.22 and 420.33

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Solution

The fourth proportional to 668.58, 923.22 and 420.33 is: 580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.58 : 923.22 = 420.33 : x
  2. Step 2: Convert to fraction form
    668.58/923.22 = 420.33/x
  3. Step 3: Cross multiply
    668.58x = 923.22 × 420.33
  4. Step 4: Simplify right side
    668.58x = 388,057.06
  5. Step 5: Solve for x
    x = 388,057.06/668.58
  6. Step 6: Final answer
    x = 580.42

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1.5x scale

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.