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Finding the Fourth Proportional to 678.12, 934.56 and 481.56

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Solution

The fourth proportional to 678.12, 934.56 and 481.56 is: 663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.12 : 934.56 = 481.56 : x
  2. Step 2: Convert to fraction form
    678.12/934.56 = 481.56/x
  3. Step 3: Cross multiply
    678.12x = 934.56 × 481.56
  4. Step 4: Simplify right side
    678.12x = 450,046.71
  5. Step 5: Solve for x
    x = 450,046.71/678.12
  6. Step 6: Final answer
    x = 663.67

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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.