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Finding the Fourth Proportional to 456.62, 629.66 and 419.63

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Solution

The fourth proportional to 456.62, 629.66 and 419.63 is: 578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.62 : 629.66 = 419.63 : x
  2. Step 2: Convert to fraction form
    456.62/629.66 = 419.63/x
  3. Step 3: Cross multiply
    456.62x = 629.66 × 419.63
  4. Step 4: Simplify right side
    456.62x = 264,222.13
  5. Step 5: Solve for x
    x = 264,222.13/456.62
  6. Step 6: Final answer
    x = 578.65

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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.