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Finding the Fourth Proportional to 682.82, 943.57 and 558.44

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Solution

The fourth proportional to 682.82, 943.57 and 558.44 is: 771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.82 : 943.57 = 558.44 : x
  2. Step 2: Convert to fraction form
    682.82/943.57 = 558.44/x
  3. Step 3: Cross multiply
    682.82x = 943.57 × 558.44
  4. Step 4: Simplify right side
    682.82x = 526,927.23
  5. Step 5: Solve for x
    x = 526,927.23/682.82
  6. Step 6: Final answer
    x = 771.69

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1.5x scale

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.