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Finding the Fourth Proportional to 633.42, 945.83 and 518.08

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Solution

The fourth proportional to 633.42, 945.83 and 518.08 is: 773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.42 : 945.83 = 518.08 : x
  2. Step 2: Convert to fraction form
    633.42/945.83 = 518.08/x
  3. Step 3: Cross multiply
    633.42x = 945.83 × 518.08
  4. Step 4: Simplify right side
    633.42x = 490,015.61
  5. Step 5: Solve for x
    x = 490,015.61/633.42
  6. Step 6: Final answer
    x = 773.60

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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.