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Finding the Fourth Proportional to 629.93, 868.90 and 420.04

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Solution

The fourth proportional to 629.93, 868.90 and 420.04 is: 579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.93 : 868.90 = 420.04 : x
  2. Step 2: Convert to fraction form
    629.93/868.90 = 420.04/x
  3. Step 3: Cross multiply
    629.93x = 868.90 × 420.04
  4. Step 4: Simplify right side
    629.93x = 364,972.76
  5. Step 5: Solve for x
    x = 364,972.76/629.93
  6. Step 6: Final answer
    x = 579.39

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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.