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Finding the Fourth Proportional to 409.63, 612.05 and 395.28

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Solution

The fourth proportional to 409.63, 612.05 and 395.28 is: 590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 612.05 = 395.28 : x
  2. Step 2: Convert to fraction form
    409.63/612.05 = 395.28/x
  3. Step 3: Cross multiply
    409.63x = 612.05 × 395.28
  4. Step 4: Simplify right side
    409.63x = 241,929.59
  5. Step 5: Solve for x
    x = 241,929.59/409.63
  6. Step 6: Final answer
    x = 590.61

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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.