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Finding the Fourth Proportional to 682.67, 1,016.73 and 658.45

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Solution

The fourth proportional to 682.67, 1,016.73 and 658.45 is: 980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.67 : 1,016.73 = 658.45 : x
  2. Step 2: Convert to fraction form
    682.67/1,016.73 = 658.45/x
  3. Step 3: Cross multiply
    682.67x = 1,016.73 × 658.45
  4. Step 4: Simplify right side
    682.67x = 669,464.67
  5. Step 5: Solve for x
    x = 669,464.67/682.67
  6. Step 6: Final answer
    x = 980.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.