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Finding the Fourth Proportional to 453.48, 675.39 and 447.84

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Solution

The fourth proportional to 453.48, 675.39 and 447.84 is: 666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.48 : 675.39 = 447.84 : x
  2. Step 2: Convert to fraction form
    453.48/675.39 = 447.84/x
  3. Step 3: Cross multiply
    453.48x = 675.39 × 447.84
  4. Step 4: Simplify right side
    453.48x = 302,466.66
  5. Step 5: Solve for x
    x = 302,466.66/453.48
  6. Step 6: Final answer
    x = 666.99

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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.