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Finding the Fourth Proportional to 419.63, 629.51 and 365.13

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Solution

The fourth proportional to 419.63, 629.51 and 365.13 is: 547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.63 : 629.51 = 365.13 : x
  2. Step 2: Convert to fraction form
    419.63/629.51 = 365.13/x
  3. Step 3: Cross multiply
    419.63x = 629.51 × 365.13
  4. Step 4: Simplify right side
    419.63x = 229,851.16
  5. Step 5: Solve for x
    x = 229,851.16/419.63
  6. Step 6: Final answer
    x = 547.75

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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.