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Finding the Fourth Proportional to 650.40, 980.37 and 612.76

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Solution

The fourth proportional to 650.40, 980.37 and 612.76 is: 923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.40 : 980.37 = 612.76 : x
  2. Step 2: Convert to fraction form
    650.40/980.37 = 612.76/x
  3. Step 3: Cross multiply
    650.40x = 980.37 × 612.76
  4. Step 4: Simplify right side
    650.40x = 600,731.37
  5. Step 5: Solve for x
    x = 600,731.37/650.40
  6. Step 6: Final answer
    x = 923.63

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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.