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Finding the Fourth Proportional to 454.24, 629.81 and 429.64

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Solution

The fourth proportional to 454.24, 629.81 and 429.64 is: 595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.24 : 629.81 = 429.64 : x
  2. Step 2: Convert to fraction form
    454.24/629.81 = 429.64/x
  3. Step 3: Cross multiply
    454.24x = 629.81 × 429.64
  4. Step 4: Simplify right side
    454.24x = 270,589.46
  5. Step 5: Solve for x
    x = 270,589.46/454.24
  6. Step 6: Final answer
    x = 595.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.