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Finding the Fourth Proportional to 418.36, 581.96 and 410.44

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Solution

The fourth proportional to 418.36, 581.96 and 410.44 is: 570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.36 : 581.96 = 410.44 : x
  2. Step 2: Convert to fraction form
    418.36/581.96 = 410.44/x
  3. Step 3: Cross multiply
    418.36x = 581.96 × 410.44
  4. Step 4: Simplify right side
    418.36x = 238,859.66
  5. Step 5: Solve for x
    x = 238,859.66/418.36
  6. Step 6: Final answer
    x = 570.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.