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Finding the Fourth Proportional to 419.49, 625.64 and 397.62

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Solution

The fourth proportional to 419.49, 625.64 and 397.62 is: 593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.49 : 625.64 = 397.62 : x
  2. Step 2: Convert to fraction form
    419.49/625.64 = 397.62/x
  3. Step 3: Cross multiply
    419.49x = 625.64 × 397.62
  4. Step 4: Simplify right side
    419.49x = 248,764.99
  5. Step 5: Solve for x
    x = 248,764.99/419.49
  6. Step 6: Final answer
    x = 593.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.