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Finding the Fourth Proportional to 456.56, 680.40 and 442.68

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Solution

The fourth proportional to 456.56, 680.40 and 442.68 is: 659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.56 : 680.40 = 442.68 : x
  2. Step 2: Convert to fraction form
    456.56/680.40 = 442.68/x
  3. Step 3: Cross multiply
    456.56x = 680.40 × 442.68
  4. Step 4: Simplify right side
    456.56x = 301,199.47
  5. Step 5: Solve for x
    x = 301,199.47/456.56
  6. Step 6: Final answer
    x = 659.71

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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.