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Finding the Fourth Proportional to 671.49, 926.70 and 376.78

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Solution

The fourth proportional to 671.49, 926.70 and 376.78 is: 519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.49 : 926.70 = 376.78 : x
  2. Step 2: Convert to fraction form
    671.49/926.70 = 376.78/x
  3. Step 3: Cross multiply
    671.49x = 926.70 × 376.78
  4. Step 4: Simplify right side
    671.49x = 349,157.39
  5. Step 5: Solve for x
    x = 349,157.39/671.49
  6. Step 6: Final answer
    x = 519.97

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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.