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Finding the Fourth Proportional to 674.73, 931.23 and 380.16

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Solution

The fourth proportional to 674.73, 931.23 and 380.16 is: 524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.73 : 931.23 = 380.16 : x
  2. Step 2: Convert to fraction form
    674.73/931.23 = 380.16/x
  3. Step 3: Cross multiply
    674.73x = 931.23 × 380.16
  4. Step 4: Simplify right side
    674.73x = 354,016.40
  5. Step 5: Solve for x
    x = 354,016.40/674.73
  6. Step 6: Final answer
    x = 524.68

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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.