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Finding the Fourth Proportional to 490.32, 676.95 and 324.77

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Solution

The fourth proportional to 490.32, 676.95 and 324.77 is: 448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.32 : 676.95 = 324.77 : x
  2. Step 2: Convert to fraction form
    490.32/676.95 = 324.77/x
  3. Step 3: Cross multiply
    490.32x = 676.95 × 324.77
  4. Step 4: Simplify right side
    490.32x = 219,849.67
  5. Step 5: Solve for x
    x = 219,849.67/490.32
  6. Step 6: Final answer
    x = 448.38

Related Problems

Find fourth proportional to 245.16, 338.48 and 162.38
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Double scale
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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.