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Finding the Fourth Proportional to 628.26, 865.94 and 480.57

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Solution

The fourth proportional to 628.26, 865.94 and 480.57 is: 662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.26 : 865.94 = 480.57 : x
  2. Step 2: Convert to fraction form
    628.26/865.94 = 480.57/x
  3. Step 3: Cross multiply
    628.26x = 865.94 × 480.57
  4. Step 4: Simplify right side
    628.26x = 416,142.38
  5. Step 5: Solve for x
    x = 416,142.38/628.26
  6. Step 6: Final answer
    x = 662.37

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Half scale
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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.