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Finding the Fourth Proportional to 674.86, 931.31 and 380.13

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Solution

The fourth proportional to 674.86, 931.31 and 380.13 is: 524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.86 : 931.31 = 380.13 : x
  2. Step 2: Convert to fraction form
    674.86/931.31 = 380.13/x
  3. Step 3: Cross multiply
    674.86x = 931.31 × 380.13
  4. Step 4: Simplify right side
    674.86x = 354,022.96
  5. Step 5: Solve for x
    x = 354,022.96/674.86
  6. Step 6: Final answer
    x = 524.58

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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.