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Finding the Fourth Proportional to 418.74, 625.24 and 340.82

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Solution

The fourth proportional to 418.74, 625.24 and 340.82 is: 508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.74 : 625.24 = 340.82 : x
  2. Step 2: Convert to fraction form
    418.74/625.24 = 340.82/x
  3. Step 3: Cross multiply
    418.74x = 625.24 × 340.82
  4. Step 4: Simplify right side
    418.74x = 213,094.30
  5. Step 5: Solve for x
    x = 213,094.30/418.74
  6. Step 6: Final answer
    x = 508.89

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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.