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Finding the Fourth Proportional to 668.62, 923.43 and 448.48

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Solution

The fourth proportional to 668.62, 923.43 and 448.48 is: 619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.62 : 923.43 = 448.48 : x
  2. Step 2: Convert to fraction form
    668.62/923.43 = 448.48/x
  3. Step 3: Cross multiply
    668.62x = 923.43 × 448.48
  4. Step 4: Simplify right side
    668.62x = 414,139.89
  5. Step 5: Solve for x
    x = 414,139.89/668.62
  6. Step 6: Final answer
    x = 619.40

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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.