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Finding the Fourth Proportional to 491.46, 674.04 and 475.80

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Solution

The fourth proportional to 491.46, 674.04 and 475.80 is: 652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.46 : 674.04 = 475.80 : x
  2. Step 2: Convert to fraction form
    491.46/674.04 = 475.80/x
  3. Step 3: Cross multiply
    491.46x = 674.04 × 475.80
  4. Step 4: Simplify right side
    491.46x = 320,708.23
  5. Step 5: Solve for x
    x = 320,708.23/491.46
  6. Step 6: Final answer
    x = 652.56

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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.