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Finding the Fourth Proportional to 409.91, 569.36 and 398.39

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Solution

The fourth proportional to 409.91, 569.36 and 398.39 is: 553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.91 : 569.36 = 398.39 : x
  2. Step 2: Convert to fraction form
    409.91/569.36 = 398.39/x
  3. Step 3: Cross multiply
    409.91x = 569.36 × 398.39
  4. Step 4: Simplify right side
    409.91x = 226,827.33
  5. Step 5: Solve for x
    x = 226,827.33/409.91
  6. Step 6: Final answer
    x = 553.36

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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.