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Finding the Fourth Proportional to 671.83, 926.71 and 409.73

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Solution

The fourth proportional to 671.83, 926.71 and 409.73 is: 565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.83 : 926.71 = 409.73 : x
  2. Step 2: Convert to fraction form
    671.83/926.71 = 409.73/x
  3. Step 3: Cross multiply
    671.83x = 926.71 × 409.73
  4. Step 4: Simplify right side
    671.83x = 379,695.23
  5. Step 5: Solve for x
    x = 379,695.23/671.83
  6. Step 6: Final answer
    x = 565.17

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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.