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Finding the Fourth Proportional to 675.43, 932.18 and 380.80

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Solution

The fourth proportional to 675.43, 932.18 and 380.80 is: 525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.43 : 932.18 = 380.80 : x
  2. Step 2: Convert to fraction form
    675.43/932.18 = 380.80/x
  3. Step 3: Cross multiply
    675.43x = 932.18 × 380.80
  4. Step 4: Simplify right side
    675.43x = 354,974.14
  5. Step 5: Solve for x
    x = 354,974.14/675.43
  6. Step 6: Final answer
    x = 525.55

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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.