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Finding the Fourth Proportional to 456.72, 628.74 and 412.92

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Solution

The fourth proportional to 456.72, 628.74 and 412.92 is: 568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.72 : 628.74 = 412.92 : x
  2. Step 2: Convert to fraction form
    456.72/628.74 = 412.92/x
  3. Step 3: Cross multiply
    456.72x = 628.74 × 412.92
  4. Step 4: Simplify right side
    456.72x = 259,619.32
  5. Step 5: Solve for x
    x = 259,619.32/456.72
  6. Step 6: Final answer
    x = 568.44

Related Problems

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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.