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Finding the Fourth Proportional to 581.34, 871.10 and 396

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Solution

The fourth proportional to 581.34, 871.10 and 396 is: 593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.34 : 871.10 = 396 : x
  2. Step 2: Convert to fraction form
    581.34/871.10 = 396/x
  3. Step 3: Cross multiply
    581.34x = 871.10 × 396
  4. Step 4: Simplify right side
    581.34x = 344,955.60
  5. Step 5: Solve for x
    x = 344,955.60/581.34
  6. Step 6: Final answer
    x = 593.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.