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Finding the Fourth Proportional to 678.76, 1,018.30 and 496.60

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Solution

The fourth proportional to 678.76, 1,018.30 and 496.60 is: 745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.76 : 1,018.30 = 496.60 : x
  2. Step 2: Convert to fraction form
    678.76/1,018.30 = 496.60/x
  3. Step 3: Cross multiply
    678.76x = 1,018.30 × 496.60
  4. Step 4: Simplify right side
    678.76x = 505,687.78
  5. Step 5: Solve for x
    x = 505,687.78/678.76
  6. Step 6: Final answer
    x = 745.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.