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Finding the Fourth Proportional to 563.28, 839.19 and 548.54

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Solution

The fourth proportional to 563.28, 839.19 and 548.54 is: 817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.28 : 839.19 = 548.54 : x
  2. Step 2: Convert to fraction form
    563.28/839.19 = 548.54/x
  3. Step 3: Cross multiply
    563.28x = 839.19 × 548.54
  4. Step 4: Simplify right side
    563.28x = 460,329.28
  5. Step 5: Solve for x
    x = 460,329.28/563.28
  6. Step 6: Final answer
    x = 817.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.