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Finding the Fourth Proportional to 420.23, 625.87 and 415.37

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Solution

The fourth proportional to 420.23, 625.87 and 415.37 is: 618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.23 : 625.87 = 415.37 : x
  2. Step 2: Convert to fraction form
    420.23/625.87 = 415.37/x
  3. Step 3: Cross multiply
    420.23x = 625.87 × 415.37
  4. Step 4: Simplify right side
    420.23x = 259,967.62
  5. Step 5: Solve for x
    x = 259,967.62/420.23
  6. Step 6: Final answer
    x = 618.63

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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.