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Finding the Fourth Proportional to 628.16, 941.42 and 384.14

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Solution

The fourth proportional to 628.16, 941.42 and 384.14 is: 575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.16 : 941.42 = 384.14 : x
  2. Step 2: Convert to fraction form
    628.16/941.42 = 384.14/x
  3. Step 3: Cross multiply
    628.16x = 941.42 × 384.14
  4. Step 4: Simplify right side
    628.16x = 361,640.39
  5. Step 5: Solve for x
    x = 361,640.39/628.16
  6. Step 6: Final answer
    x = 575.72

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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.