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Finding the Fourth Proportional to 660.00, 989.06 and 451.58

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Solution

The fourth proportional to 660.00, 989.06 and 451.58 is: 676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.00 : 989.06 = 451.58 : x
  2. Step 2: Convert to fraction form
    660.00/989.06 = 451.58/x
  3. Step 3: Cross multiply
    660.00x = 989.06 × 451.58
  4. Step 4: Simplify right side
    660.00x = 446,635.05
  5. Step 5: Solve for x
    x = 446,635.05/660.00
  6. Step 6: Final answer
    x = 676.72

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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.