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Finding the Fourth Proportional to 486.48, 667.95 and 473.80

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Solution

The fourth proportional to 486.48, 667.95 and 473.80 is: 650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.48 : 667.95 = 473.80 : x
  2. Step 2: Convert to fraction form
    486.48/667.95 = 473.80/x
  3. Step 3: Cross multiply
    486.48x = 667.95 × 473.80
  4. Step 4: Simplify right side
    486.48x = 316,473.56
  5. Step 5: Solve for x
    x = 316,473.56/486.48
  6. Step 6: Final answer
    x = 650.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.