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Finding the Fourth Proportional to 671.43, 926.45 and 405.80

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Solution

The fourth proportional to 671.43, 926.45 and 405.80 is: 559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.43 : 926.45 = 405.80 : x
  2. Step 2: Convert to fraction form
    671.43/926.45 = 405.80/x
  3. Step 3: Cross multiply
    671.43x = 926.45 × 405.80
  4. Step 4: Simplify right side
    671.43x = 375,953.41
  5. Step 5: Solve for x
    x = 375,953.41/671.43
  6. Step 6: Final answer
    x = 559.93

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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.