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Finding the Fourth Proportional to 674.90, 931.41 and 380.21

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Solution

The fourth proportional to 674.90, 931.41 and 380.21 is: 524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.90 : 931.41 = 380.21 : x
  2. Step 2: Convert to fraction form
    674.90/931.41 = 380.21/x
  3. Step 3: Cross multiply
    674.90x = 931.41 × 380.21
  4. Step 4: Simplify right side
    674.90x = 354,126.74
  5. Step 5: Solve for x
    x = 354,126.74/674.90
  6. Step 6: Final answer
    x = 524.71

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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.