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Finding the Fourth Proportional to 654.05, 986.91 and 628.74

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Solution

The fourth proportional to 654.05, 986.91 and 628.74 is: 948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.05 : 986.91 = 628.74 : x
  2. Step 2: Convert to fraction form
    654.05/986.91 = 628.74/x
  3. Step 3: Cross multiply
    654.05x = 986.91 × 628.74
  4. Step 4: Simplify right side
    654.05x = 620,501.72
  5. Step 5: Solve for x
    x = 620,501.72/654.05
  6. Step 6: Final answer
    x = 948.71

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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.