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Finding the Fourth Proportional to 892.96, 1,339.20 and 563.68

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Solution

The fourth proportional to 892.96, 1,339.20 and 563.68 is: 845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.96 : 1,339.20 = 563.68 : x
  2. Step 2: Convert to fraction form
    892.96/1,339.20 = 563.68/x
  3. Step 3: Cross multiply
    892.96x = 1,339.20 × 563.68
  4. Step 4: Simplify right side
    892.96x = 754,880.26
  5. Step 5: Solve for x
    x = 754,880.26/892.96
  6. Step 6: Final answer
    x = 845.37

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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.