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Finding the Fourth Proportional to 656.97, 984.78 and 450.87

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Solution

The fourth proportional to 656.97, 984.78 and 450.87 is: 675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.97 : 984.78 = 450.87 : x
  2. Step 2: Convert to fraction form
    656.97/984.78 = 450.87/x
  3. Step 3: Cross multiply
    656.97x = 984.78 × 450.87
  4. Step 4: Simplify right side
    656.97x = 444,007.76
  5. Step 5: Solve for x
    x = 444,007.76/656.97
  6. Step 6: Final answer
    x = 675.84

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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.