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Finding the Fourth Proportional to 675.39, 932.03 and 380.75

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Solution

The fourth proportional to 675.39, 932.03 and 380.75 is: 525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.39 : 932.03 = 380.75 : x
  2. Step 2: Convert to fraction form
    675.39/932.03 = 380.75/x
  3. Step 3: Cross multiply
    675.39x = 932.03 × 380.75
  4. Step 4: Simplify right side
    675.39x = 354,871.60
  5. Step 5: Solve for x
    x = 354,871.60/675.39
  6. Step 6: Final answer
    x = 525.43

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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.