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Finding the Fourth Proportional to 678.12, 934.98 and 481.48

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Solution

The fourth proportional to 678.12, 934.98 and 481.48 is: 663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.12 : 934.98 = 481.48 : x
  2. Step 2: Convert to fraction form
    678.12/934.98 = 481.48/x
  3. Step 3: Cross multiply
    678.12x = 934.98 × 481.48
  4. Step 4: Simplify right side
    678.12x = 450,174.17
  5. Step 5: Solve for x
    x = 450,174.17/678.12
  6. Step 6: Final answer
    x = 663.86

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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.