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Finding the Fourth Proportional to 657.67, 985.95 and 451.73

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Solution

The fourth proportional to 657.67, 985.95 and 451.73 is: 677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.67 : 985.95 = 451.73 : x
  2. Step 2: Convert to fraction form
    657.67/985.95 = 451.73/x
  3. Step 3: Cross multiply
    657.67x = 985.95 × 451.73
  4. Step 4: Simplify right side
    657.67x = 445,383.19
  5. Step 5: Solve for x
    x = 445,383.19/657.67
  6. Step 6: Final answer
    x = 677.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.