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Finding the Fourth Proportional to 650.76, 983.23 and 645

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Solution

The fourth proportional to 650.76, 983.23 and 645 is: 974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.76 : 983.23 = 645 : x
  2. Step 2: Convert to fraction form
    650.76/983.23 = 645/x
  3. Step 3: Cross multiply
    650.76x = 983.23 × 645
  4. Step 4: Simplify right side
    650.76x = 634,183.35
  5. Step 5: Solve for x
    x = 634,183.35/650.76
  6. Step 6: Final answer
    x = 974.53

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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.