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Finding the Fourth Proportional to 629.56, 869.16 and 420.04

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Solution

The fourth proportional to 629.56, 869.16 and 420.04 is: 579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.56 : 869.16 = 420.04 : x
  2. Step 2: Convert to fraction form
    629.56/869.16 = 420.04/x
  3. Step 3: Cross multiply
    629.56x = 869.16 × 420.04
  4. Step 4: Simplify right side
    629.56x = 365,081.97
  5. Step 5: Solve for x
    x = 365,081.97/629.56
  6. Step 6: Final answer
    x = 579.90

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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.