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Finding the Fourth Proportional to 650.76, 968.12 and 648.60

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Solution

The fourth proportional to 650.76, 968.12 and 648.60 is: 964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.76 : 968.12 = 648.60 : x
  2. Step 2: Convert to fraction form
    650.76/968.12 = 648.60/x
  3. Step 3: Cross multiply
    650.76x = 968.12 × 648.60
  4. Step 4: Simplify right side
    650.76x = 627,922.63
  5. Step 5: Solve for x
    x = 627,922.63/650.76
  6. Step 6: Final answer
    x = 964.91

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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.