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Finding the Fourth Proportional to 490.92, 676.20 and 466.20

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Solution

The fourth proportional to 490.92, 676.20 and 466.20 is: 642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.92 : 676.20 = 466.20 : x
  2. Step 2: Convert to fraction form
    490.92/676.20 = 466.20/x
  3. Step 3: Cross multiply
    490.92x = 676.20 × 466.20
  4. Step 4: Simplify right side
    490.92x = 315,244.44
  5. Step 5: Solve for x
    x = 315,244.44/490.92
  6. Step 6: Final answer
    x = 642.15

Related Problems

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Double scale
Find fourth proportional to 491.92, 677.58 and 467.20
Similar ratio
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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.