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Finding the Fourth Proportional to 892.86, 1,339.49 and 345.06

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Solution

The fourth proportional to 892.86, 1,339.49 and 345.06 is: 517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.86 : 1,339.49 = 345.06 : x
  2. Step 2: Convert to fraction form
    892.86/1,339.49 = 345.06/x
  3. Step 3: Cross multiply
    892.86x = 1,339.49 × 345.06
  4. Step 4: Simplify right side
    892.86x = 462,202.69
  5. Step 5: Solve for x
    x = 462,202.69/892.86
  6. Step 6: Final answer
    x = 517.67

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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.