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Finding the Fourth Proportional to 668.64, 923.21 and 482.55

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Solution

The fourth proportional to 668.64, 923.21 and 482.55 is: 666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.64 : 923.21 = 482.55 : x
  2. Step 2: Convert to fraction form
    668.64/923.21 = 482.55/x
  3. Step 3: Cross multiply
    668.64x = 923.21 × 482.55
  4. Step 4: Simplify right side
    668.64x = 445,494.99
  5. Step 5: Solve for x
    x = 445,494.99/668.64
  6. Step 6: Final answer
    x = 666.27

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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.