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Finding the Fourth Proportional to 456.03, 680.72 and 401.36

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Solution

The fourth proportional to 456.03, 680.72 and 401.36 is: 599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.03 : 680.72 = 401.36 : x
  2. Step 2: Convert to fraction form
    456.03/680.72 = 401.36/x
  3. Step 3: Cross multiply
    456.03x = 680.72 × 401.36
  4. Step 4: Simplify right side
    456.03x = 273,208.37
  5. Step 5: Solve for x
    x = 273,208.37/456.03
  6. Step 6: Final answer
    x = 599.10

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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.