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Finding the Fourth Proportional to 475.79, 712.74 and 378.46

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Solution

The fourth proportional to 475.79, 712.74 and 378.46 is: 566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.79 : 712.74 = 378.46 : x
  2. Step 2: Convert to fraction form
    475.79/712.74 = 378.46/x
  3. Step 3: Cross multiply
    475.79x = 712.74 × 378.46
  4. Step 4: Simplify right side
    475.79x = 269,743.58
  5. Step 5: Solve for x
    x = 269,743.58/475.79
  6. Step 6: Final answer
    x = 566.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.