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Finding the Fourth Proportional to 496.56, 684.36 and 380.40

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Solution

The fourth proportional to 496.56, 684.36 and 380.40 is: 524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.56 : 684.36 = 380.40 : x
  2. Step 2: Convert to fraction form
    496.56/684.36 = 380.40/x
  3. Step 3: Cross multiply
    496.56x = 684.36 × 380.40
  4. Step 4: Simplify right side
    496.56x = 260,330.54
  5. Step 5: Solve for x
    x = 260,330.54/496.56
  6. Step 6: Final answer
    x = 524.27

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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.