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Finding the Fourth Proportional to 892.19, 1,338.50 and 315.06

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Solution

The fourth proportional to 892.19, 1,338.50 and 315.06 is: 472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.19 : 1,338.50 = 315.06 : x
  2. Step 2: Convert to fraction form
    892.19/1,338.50 = 315.06/x
  3. Step 3: Cross multiply
    892.19x = 1,338.50 × 315.06
  4. Step 4: Simplify right side
    892.19x = 421,707.81
  5. Step 5: Solve for x
    x = 421,707.81/892.19
  6. Step 6: Final answer
    x = 472.67

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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.