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Finding the Fourth Proportional to 682.16, 939.74 and 563.64

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Solution

The fourth proportional to 682.16, 939.74 and 563.64 is: 776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 939.74 = 563.64 : x
  2. Step 2: Convert to fraction form
    682.16/939.74 = 563.64/x
  3. Step 3: Cross multiply
    682.16x = 939.74 × 563.64
  4. Step 4: Simplify right side
    682.16x = 529,675.05
  5. Step 5: Solve for x
    x = 529,675.05/682.16
  6. Step 6: Final answer
    x = 776.47

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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.