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Finding the Fourth Proportional to 668.97, 923.40 and 406.98

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Solution

The fourth proportional to 668.97, 923.40 and 406.98 is: 561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.97 : 923.40 = 406.98 : x
  2. Step 2: Convert to fraction form
    668.97/923.40 = 406.98/x
  3. Step 3: Cross multiply
    668.97x = 923.40 × 406.98
  4. Step 4: Simplify right side
    668.97x = 375,805.33
  5. Step 5: Solve for x
    x = 375,805.33/668.97
  6. Step 6: Final answer
    x = 561.77

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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.