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Finding the Fourth Proportional to 657.69, 986.53 and 451.63

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Solution

The fourth proportional to 657.69, 986.53 and 451.63 is: 677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.69 : 986.53 = 451.63 : x
  2. Step 2: Convert to fraction form
    657.69/986.53 = 451.63/x
  3. Step 3: Cross multiply
    657.69x = 986.53 × 451.63
  4. Step 4: Simplify right side
    657.69x = 445,546.54
  5. Step 5: Solve for x
    x = 445,546.54/657.69
  6. Step 6: Final answer
    x = 677.44

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Double scale
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1.5x scale

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.