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Finding the Fourth Proportional to 563.15, 843.42 and 543.69

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Solution

The fourth proportional to 563.15, 843.42 and 543.69 is: 814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.15 : 843.42 = 543.69 : x
  2. Step 2: Convert to fraction form
    563.15/843.42 = 543.69/x
  3. Step 3: Cross multiply
    563.15x = 843.42 × 543.69
  4. Step 4: Simplify right side
    563.15x = 458,559.02
  5. Step 5: Solve for x
    x = 458,559.02/563.15
  6. Step 6: Final answer
    x = 814.27

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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.