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Finding the Fourth Proportional to 419.76, 629.76 and 304.32

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Solution

The fourth proportional to 419.76, 629.76 and 304.32 is: 456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 629.76 = 304.32 : x
  2. Step 2: Convert to fraction form
    419.76/629.76 = 304.32/x
  3. Step 3: Cross multiply
    419.76x = 629.76 × 304.32
  4. Step 4: Simplify right side
    419.76x = 191,648.56
  5. Step 5: Solve for x
    x = 191,648.56/419.76
  6. Step 6: Final answer
    x = 456.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.