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Finding the Fourth Proportional to 650.73, 902.64 and 628.05

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Solution

The fourth proportional to 650.73, 902.64 and 628.05 is: 871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.73 : 902.64 = 628.05 : x
  2. Step 2: Convert to fraction form
    650.73/902.64 = 628.05/x
  3. Step 3: Cross multiply
    650.73x = 902.64 × 628.05
  4. Step 4: Simplify right side
    650.73x = 566,903.05
  5. Step 5: Solve for x
    x = 566,903.05/650.73
  6. Step 6: Final answer
    x = 871.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.