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Finding the Fourth Proportional to 662.00, 991.78 and 478.94

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Solution

The fourth proportional to 662.00, 991.78 and 478.94 is: 717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.00 : 991.78 = 478.94 : x
  2. Step 2: Convert to fraction form
    662.00/991.78 = 478.94/x
  3. Step 3: Cross multiply
    662.00x = 991.78 × 478.94
  4. Step 4: Simplify right side
    662.00x = 474,996.96
  5. Step 5: Solve for x
    x = 474,996.96/662.00
  6. Step 6: Final answer
    x = 717.52

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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.