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Finding the Fourth Proportional to 563.45, 843.96 and 454.10

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Solution

The fourth proportional to 563.45, 843.96 and 454.10 is: 680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.45 : 843.96 = 454.10 : x
  2. Step 2: Convert to fraction form
    563.45/843.96 = 454.10/x
  3. Step 3: Cross multiply
    563.45x = 843.96 × 454.10
  4. Step 4: Simplify right side
    563.45x = 383,242.24
  5. Step 5: Solve for x
    x = 383,242.24/563.45
  6. Step 6: Final answer
    x = 680.17

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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.