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Finding the Fourth Proportional to 892.13, 1,338.46 and 315

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Solution

The fourth proportional to 892.13, 1,338.46 and 315 is: 472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.13 : 1,338.46 = 315 : x
  2. Step 2: Convert to fraction form
    892.13/1,338.46 = 315/x
  3. Step 3: Cross multiply
    892.13x = 1,338.46 × 315
  4. Step 4: Simplify right side
    892.13x = 421,614.11
  5. Step 5: Solve for x
    x = 421,614.11/892.13
  6. Step 6: Final answer
    x = 472.60

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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.