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Finding the Fourth Proportional to 424.36, 590.29 and 416.44

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Solution

The fourth proportional to 424.36, 590.29 and 416.44 is: 579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.36 : 590.29 = 416.44 : x
  2. Step 2: Convert to fraction form
    424.36/590.29 = 416.44/x
  3. Step 3: Cross multiply
    424.36x = 590.29 × 416.44
  4. Step 4: Simplify right side
    424.36x = 245,820.37
  5. Step 5: Solve for x
    x = 245,820.37/424.36
  6. Step 6: Final answer
    x = 579.27

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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.