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Finding the Fourth Proportional to 678.43, 934.94 and 481.60

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Solution

The fourth proportional to 678.43, 934.94 and 481.60 is: 663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.43 : 934.94 = 481.60 : x
  2. Step 2: Convert to fraction form
    678.43/934.94 = 481.60/x
  3. Step 3: Cross multiply
    678.43x = 934.94 × 481.60
  4. Step 4: Simplify right side
    678.43x = 450,264.22
  5. Step 5: Solve for x
    x = 450,264.22/678.43
  6. Step 6: Final answer
    x = 663.69

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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.