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Finding the Fourth Proportional to 483.56, 666.32 and 343.83

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Solution

The fourth proportional to 483.56, 666.32 and 343.83 is: 473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.56 : 666.32 = 343.83 : x
  2. Step 2: Convert to fraction form
    483.56/666.32 = 343.83/x
  3. Step 3: Cross multiply
    483.56x = 666.32 × 343.83
  4. Step 4: Simplify right side
    483.56x = 229,100.81
  5. Step 5: Solve for x
    x = 229,100.81/483.56
  6. Step 6: Final answer
    x = 473.78

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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.