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Finding the Fourth Proportional to 456.23, 680.40 and 401.66

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Solution

The fourth proportional to 456.23, 680.40 and 401.66 is: 599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.23 : 680.40 = 401.66 : x
  2. Step 2: Convert to fraction form
    456.23/680.40 = 401.66/x
  3. Step 3: Cross multiply
    456.23x = 680.40 × 401.66
  4. Step 4: Simplify right side
    456.23x = 273,288.61
  5. Step 5: Solve for x
    x = 273,288.61/456.23
  6. Step 6: Final answer
    x = 599.01

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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.