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Finding the Fourth Proportional to 629.23, 869.07 and 419.06

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Solution

The fourth proportional to 629.23, 869.07 and 419.06 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.23 : 869.07 = 419.06 : x
  2. Step 2: Convert to fraction form
    629.23/869.07 = 419.06/x
  3. Step 3: Cross multiply
    629.23x = 869.07 × 419.06
  4. Step 4: Simplify right side
    629.23x = 364,192.05
  5. Step 5: Solve for x
    x = 364,192.05/629.23
  6. Step 6: Final answer
    x = 578.79

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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.