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Finding the Fourth Proportional to 448.51, 676.98 and 448.51

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Solution

The fourth proportional to 448.51, 676.98 and 448.51 is: 676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.51 : 676.98 = 448.51 : x
  2. Step 2: Convert to fraction form
    448.51/676.98 = 448.51/x
  3. Step 3: Cross multiply
    448.51x = 676.98 × 448.51
  4. Step 4: Simplify right side
    448.51x = 303,632.30
  5. Step 5: Solve for x
    x = 303,632.30/448.51
  6. Step 6: Final answer
    x = 676.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.