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Finding the Fourth Proportional to 628.70, 941.70 and 385.70

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Solution

The fourth proportional to 628.70, 941.70 and 385.70 is: 577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.70 : 941.70 = 385.70 : x
  2. Step 2: Convert to fraction form
    628.70/941.70 = 385.70/x
  3. Step 3: Cross multiply
    628.70x = 941.70 × 385.70
  4. Step 4: Simplify right side
    628.70x = 363,213.69
  5. Step 5: Solve for x
    x = 363,213.69/628.70
  6. Step 6: Final answer
    x = 577.72

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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.