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Finding the Fourth Proportional to 490.56, 676.44 and 416.76

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Solution

The fourth proportional to 490.56, 676.44 and 416.76 is: 574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.56 : 676.44 = 416.76 : x
  2. Step 2: Convert to fraction form
    490.56/676.44 = 416.76/x
  3. Step 3: Cross multiply
    490.56x = 676.44 × 416.76
  4. Step 4: Simplify right side
    490.56x = 281,913.13
  5. Step 5: Solve for x
    x = 281,913.13/490.56
  6. Step 6: Final answer
    x = 574.68

Related Problems

Find fourth proportional to 245.28, 338.22 and 208.38
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Double scale
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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.