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Finding the Fourth Proportional to 678.96, 942.48 and 635.76

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Solution

The fourth proportional to 678.96, 942.48 and 635.76 is: 882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.96 : 942.48 = 635.76 : x
  2. Step 2: Convert to fraction form
    678.96/942.48 = 635.76/x
  3. Step 3: Cross multiply
    678.96x = 942.48 × 635.76
  4. Step 4: Simplify right side
    678.96x = 599,191.08
  5. Step 5: Solve for x
    x = 599,191.08/678.96
  6. Step 6: Final answer
    x = 882.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.