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Finding the Fourth Proportional to 682.82, 942.59 and 473.69

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Solution

The fourth proportional to 682.82, 942.59 and 473.69 is: 653.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.82 : 942.59 = 473.69 : x
  2. Step 2: Convert to fraction form
    682.82/942.59 = 473.69/x
  3. Step 3: Cross multiply
    682.82x = 942.59 × 473.69
  4. Step 4: Simplify right side
    682.82x = 446,493.09
  5. Step 5: Solve for x
    x = 446,493.09/682.82
  6. Step 6: Final answer
    x = 653.90

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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.