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Finding the Fourth Proportional to 628.19, 941.34 and 384.65

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Solution

The fourth proportional to 628.19, 941.34 and 384.65 is: 576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.19 : 941.34 = 384.65 : x
  2. Step 2: Convert to fraction form
    628.19/941.34 = 384.65/x
  3. Step 3: Cross multiply
    628.19x = 941.34 × 384.65
  4. Step 4: Simplify right side
    628.19x = 362,086.43
  5. Step 5: Solve for x
    x = 362,086.43/628.19
  6. Step 6: Final answer
    x = 576.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.