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Finding the Fourth Proportional to 672.96, 928.50 and 378.20

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Solution

The fourth proportional to 672.96, 928.50 and 378.20 is: 521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.96 : 928.50 = 378.20 : x
  2. Step 2: Convert to fraction form
    672.96/928.50 = 378.20/x
  3. Step 3: Cross multiply
    672.96x = 928.50 × 378.20
  4. Step 4: Simplify right side
    672.96x = 351,158.70
  5. Step 5: Solve for x
    x = 351,158.70/672.96
  6. Step 6: Final answer
    x = 521.81

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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.