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Finding the Fourth Proportional to 476.60, 656.70 and 343.67

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Solution

The fourth proportional to 476.60, 656.70 and 343.67 is: 473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.60 : 656.70 = 343.67 : x
  2. Step 2: Convert to fraction form
    476.60/656.70 = 343.67/x
  3. Step 3: Cross multiply
    476.60x = 656.70 × 343.67
  4. Step 4: Simplify right side
    476.60x = 225,688.09
  5. Step 5: Solve for x
    x = 225,688.09/476.60
  6. Step 6: Final answer
    x = 473.54

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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.