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Finding the Fourth Proportional to 678.54, 937.26 and 492.65

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Solution

The fourth proportional to 678.54, 937.26 and 492.65 is: 680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.54 : 937.26 = 492.65 : x
  2. Step 2: Convert to fraction form
    678.54/937.26 = 492.65/x
  3. Step 3: Cross multiply
    678.54x = 937.26 × 492.65
  4. Step 4: Simplify right side
    678.54x = 461,736.45
  5. Step 5: Solve for x
    x = 461,736.45/678.54
  6. Step 6: Final answer
    x = 680.49

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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.