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Finding the Fourth Proportional to 672.75, 928.44 and 378.03

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Solution

The fourth proportional to 672.75, 928.44 and 378.03 is: 521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.75 : 928.44 = 378.03 : x
  2. Step 2: Convert to fraction form
    672.75/928.44 = 378.03/x
  3. Step 3: Cross multiply
    672.75x = 928.44 × 378.03
  4. Step 4: Simplify right side
    672.75x = 350,978.17
  5. Step 5: Solve for x
    x = 350,978.17/672.75
  6. Step 6: Final answer
    x = 521.71

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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.