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Finding the Fourth Proportional to 456.44, 679.49 and 454.01

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Solution

The fourth proportional to 456.44, 679.49 and 454.01 is: 675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.44 : 679.49 = 454.01 : x
  2. Step 2: Convert to fraction form
    456.44/679.49 = 454.01/x
  3. Step 3: Cross multiply
    456.44x = 679.49 × 454.01
  4. Step 4: Simplify right side
    456.44x = 308,491.29
  5. Step 5: Solve for x
    x = 308,491.29/456.44
  6. Step 6: Final answer
    x = 675.87

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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.