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Finding the Fourth Proportional to 409.10, 610.79 and 347.36

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Solution

The fourth proportional to 409.10, 610.79 and 347.36 is: 518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.10 : 610.79 = 347.36 : x
  2. Step 2: Convert to fraction form
    409.10/610.79 = 347.36/x
  3. Step 3: Cross multiply
    409.10x = 610.79 × 347.36
  4. Step 4: Simplify right side
    409.10x = 212,159.22
  5. Step 5: Solve for x
    x = 212,159.22/409.10
  6. Step 6: Final answer
    x = 518.61

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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.