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Finding the Fourth Proportional to 629.03, 868.25 and 419.51

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Solution

The fourth proportional to 629.03, 868.25 and 419.51 is: 579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.03 : 868.25 = 419.51 : x
  2. Step 2: Convert to fraction form
    629.03/868.25 = 419.51/x
  3. Step 3: Cross multiply
    629.03x = 868.25 × 419.51
  4. Step 4: Simplify right side
    629.03x = 364,237.46
  5. Step 5: Solve for x
    x = 364,237.46/629.03
  6. Step 6: Final answer
    x = 579.05

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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.