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Finding the Fourth Proportional to 682.80, 941.54 and 627.32

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Solution

The fourth proportional to 682.80, 941.54 and 627.32 is: 865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 941.54 = 627.32 : x
  2. Step 2: Convert to fraction form
    682.80/941.54 = 627.32/x
  3. Step 3: Cross multiply
    682.80x = 941.54 × 627.32
  4. Step 4: Simplify right side
    682.80x = 590,646.87
  5. Step 5: Solve for x
    x = 590,646.87/682.80
  6. Step 6: Final answer
    x = 865.04

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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.