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Finding the Fourth Proportional to 563.12, 843.60 and 288.56

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Solution

The fourth proportional to 563.12, 843.60 and 288.56 is: 432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.12 : 843.60 = 288.56 : x
  2. Step 2: Convert to fraction form
    563.12/843.60 = 288.56/x
  3. Step 3: Cross multiply
    563.12x = 843.60 × 288.56
  4. Step 4: Simplify right side
    563.12x = 243,429.22
  5. Step 5: Solve for x
    x = 243,429.22/563.12
  6. Step 6: Final answer
    x = 432.29

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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.