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Finding the Fourth Proportional to 629.60, 867.58 and 519.84

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Solution

The fourth proportional to 629.60, 867.58 and 519.84 is: 716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.60 : 867.58 = 519.84 : x
  2. Step 2: Convert to fraction form
    629.60/867.58 = 519.84/x
  3. Step 3: Cross multiply
    629.60x = 867.58 × 519.84
  4. Step 4: Simplify right side
    629.60x = 451,001.49
  5. Step 5: Solve for x
    x = 451,001.49/629.60
  6. Step 6: Final answer
    x = 716.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.