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Finding the Fourth Proportional to 448.88, 676.54 and 423.77

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Solution

The fourth proportional to 448.88, 676.54 and 423.77 is: 638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.88 : 676.54 = 423.77 : x
  2. Step 2: Convert to fraction form
    448.88/676.54 = 423.77/x
  3. Step 3: Cross multiply
    448.88x = 676.54 × 423.77
  4. Step 4: Simplify right side
    448.88x = 286,694.50
  5. Step 5: Solve for x
    x = 286,694.50/448.88
  6. Step 6: Final answer
    x = 638.68

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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.