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Finding the Fourth Proportional to 668.45, 922.43 and 369.68

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Solution

The fourth proportional to 668.45, 922.43 and 369.68 is: 510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.45 : 922.43 = 369.68 : x
  2. Step 2: Convert to fraction form
    668.45/922.43 = 369.68/x
  3. Step 3: Cross multiply
    668.45x = 922.43 × 369.68
  4. Step 4: Simplify right side
    668.45x = 341,002.07
  5. Step 5: Solve for x
    x = 341,002.07/668.45
  6. Step 6: Final answer
    x = 510.14

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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.