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Finding the Fourth Proportional to 598.88, 827.04 and 392

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Solution

The fourth proportional to 598.88, 827.04 and 392 is: 541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.88 : 827.04 = 392 : x
  2. Step 2: Convert to fraction form
    598.88/827.04 = 392/x
  3. Step 3: Cross multiply
    598.88x = 827.04 × 392
  4. Step 4: Simplify right side
    598.88x = 324,199.68
  5. Step 5: Solve for x
    x = 324,199.68/598.88
  6. Step 6: Final answer
    x = 541.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.