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Finding the Fourth Proportional to 419.41, 625.43 and 410.11

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Solution

The fourth proportional to 419.41, 625.43 and 410.11 is: 611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.41 : 625.43 = 410.11 : x
  2. Step 2: Convert to fraction form
    419.41/625.43 = 410.11/x
  3. Step 3: Cross multiply
    419.41x = 625.43 × 410.11
  4. Step 4: Simplify right side
    419.41x = 256,495.10
  5. Step 5: Solve for x
    x = 256,495.10/419.41
  6. Step 6: Final answer
    x = 611.56

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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.