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Finding the Fourth Proportional to 671.57, 926.70 and 376.77

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Solution

The fourth proportional to 671.57, 926.70 and 376.77 is: 519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.57 : 926.70 = 376.77 : x
  2. Step 2: Convert to fraction form
    671.57/926.70 = 376.77/x
  3. Step 3: Cross multiply
    671.57x = 926.70 × 376.77
  4. Step 4: Simplify right side
    671.57x = 349,150.88
  5. Step 5: Solve for x
    x = 349,150.88/671.57
  6. Step 6: Final answer
    x = 519.90

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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.