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Finding the Fourth Proportional to 629.85, 868.75 and 419.93

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Solution

The fourth proportional to 629.85, 868.75 and 419.93 is: 579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.85 : 868.75 = 419.93 : x
  2. Step 2: Convert to fraction form
    629.85/868.75 = 419.93/x
  3. Step 3: Cross multiply
    629.85x = 868.75 × 419.93
  4. Step 4: Simplify right side
    629.85x = 364,814.19
  5. Step 5: Solve for x
    x = 364,814.19/629.85
  6. Step 6: Final answer
    x = 579.21

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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.