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Finding the Fourth Proportional to 409.80, 610.92 and 392.76

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Solution

The fourth proportional to 409.80, 610.92 and 392.76 is: 585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.80 : 610.92 = 392.76 : x
  2. Step 2: Convert to fraction form
    409.80/610.92 = 392.76/x
  3. Step 3: Cross multiply
    409.80x = 610.92 × 392.76
  4. Step 4: Simplify right side
    409.80x = 239,944.94
  5. Step 5: Solve for x
    x = 239,944.94/409.80
  6. Step 6: Final answer
    x = 585.52

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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.