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Finding the Fourth Proportional to 629.12, 868.55 and 419.58

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Solution

The fourth proportional to 629.12, 868.55 and 419.58 is: 579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.12 : 868.55 = 419.58 : x
  2. Step 2: Convert to fraction form
    629.12/868.55 = 419.58/x
  3. Step 3: Cross multiply
    629.12x = 868.55 × 419.58
  4. Step 4: Simplify right side
    629.12x = 364,424.11
  5. Step 5: Solve for x
    x = 364,424.11/629.12
  6. Step 6: Final answer
    x = 579.26

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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.