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Finding the Fourth Proportional to 650.64, 976.15 and 403.68

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Solution

The fourth proportional to 650.64, 976.15 and 403.68 is: 605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.64 : 976.15 = 403.68 : x
  2. Step 2: Convert to fraction form
    650.64/976.15 = 403.68/x
  3. Step 3: Cross multiply
    650.64x = 976.15 × 403.68
  4. Step 4: Simplify right side
    650.64x = 394,052.23
  5. Step 5: Solve for x
    x = 394,052.23/650.64
  6. Step 6: Final answer
    x = 605.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.