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Finding the Fourth Proportional to 892.79, 1,339.36 and 307.83

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Solution

The fourth proportional to 892.79, 1,339.36 and 307.83 is: 461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.79 : 1,339.36 = 307.83 : x
  2. Step 2: Convert to fraction form
    892.79/1,339.36 = 307.83/x
  3. Step 3: Cross multiply
    892.79x = 1,339.36 × 307.83
  4. Step 4: Simplify right side
    892.79x = 412,295.19
  5. Step 5: Solve for x
    x = 412,295.19/892.79
  6. Step 6: Final answer
    x = 461.81

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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.