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Finding the Fourth Proportional to 674.93, 931.34 and 380.14

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Solution

The fourth proportional to 674.93, 931.34 and 380.14 is: 524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.93 : 931.34 = 380.14 : x
  2. Step 2: Convert to fraction form
    674.93/931.34 = 380.14/x
  3. Step 3: Cross multiply
    674.93x = 931.34 × 380.14
  4. Step 4: Simplify right side
    674.93x = 354,040.78
  5. Step 5: Solve for x
    x = 354,040.78/674.93
  6. Step 6: Final answer
    x = 524.56

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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.