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Finding the Fourth Proportional to 453.66, 675.68 and 445.02

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Solution

The fourth proportional to 453.66, 675.68 and 445.02 is: 662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.66 : 675.68 = 445.02 : x
  2. Step 2: Convert to fraction form
    453.66/675.68 = 445.02/x
  3. Step 3: Cross multiply
    453.66x = 675.68 × 445.02
  4. Step 4: Simplify right side
    453.66x = 300,688.89
  5. Step 5: Solve for x
    x = 300,688.89/453.66
  6. Step 6: Final answer
    x = 662.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.