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Finding the Fourth Proportional to 674.94, 931.40 and 380.20

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Solution

The fourth proportional to 674.94, 931.40 and 380.20 is: 524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.94 : 931.40 = 380.20 : x
  2. Step 2: Convert to fraction form
    674.94/931.40 = 380.20/x
  3. Step 3: Cross multiply
    674.94x = 931.40 × 380.20
  4. Step 4: Simplify right side
    674.94x = 354,118.28
  5. Step 5: Solve for x
    x = 354,118.28/674.94
  6. Step 6: Final answer
    x = 524.67

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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.