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Finding the Fourth Proportional to 825.72, 1,138.32 and 563.28

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Solution

The fourth proportional to 825.72, 1,138.32 and 563.28 is: 776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.72 : 1,138.32 = 563.28 : x
  2. Step 2: Convert to fraction form
    825.72/1,138.32 = 563.28/x
  3. Step 3: Cross multiply
    825.72x = 1,138.32 × 563.28
  4. Step 4: Simplify right side
    825.72x = 641,192.89
  5. Step 5: Solve for x
    x = 641,192.89/825.72
  6. Step 6: Final answer
    x = 776.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.