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Finding the Fourth Proportional to 448.48, 668.02 and 442.88

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Solution

The fourth proportional to 448.48, 668.02 and 442.88 is: 659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.48 : 668.02 = 442.88 : x
  2. Step 2: Convert to fraction form
    448.48/668.02 = 442.88/x
  3. Step 3: Cross multiply
    448.48x = 668.02 × 442.88
  4. Step 4: Simplify right side
    448.48x = 295,852.70
  5. Step 5: Solve for x
    x = 295,852.70/448.48
  6. Step 6: Final answer
    x = 659.68

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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.