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Finding the Fourth Proportional to 675.45, 932.20 and 380.75

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Solution

The fourth proportional to 675.45, 932.20 and 380.75 is: 525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.45 : 932.20 = 380.75 : x
  2. Step 2: Convert to fraction form
    675.45/932.20 = 380.75/x
  3. Step 3: Cross multiply
    675.45x = 932.20 × 380.75
  4. Step 4: Simplify right side
    675.45x = 354,929.54
  5. Step 5: Solve for x
    x = 354,929.54/675.45
  6. Step 6: Final answer
    x = 525.47

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1.5x scale

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.