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Finding the Fourth Proportional to 629.42, 867.65 and 419.22

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Solution

The fourth proportional to 629.42, 867.65 and 419.22 is: 577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.42 : 867.65 = 419.22 : x
  2. Step 2: Convert to fraction form
    629.42/867.65 = 419.22/x
  3. Step 3: Cross multiply
    629.42x = 867.65 × 419.22
  4. Step 4: Simplify right side
    629.42x = 363,734.14
  5. Step 5: Solve for x
    x = 363,734.14/629.42
  6. Step 6: Final answer
    x = 577.89

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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.