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Finding the Fourth Proportional to 811.96, 1,120.44 and 480.40

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Solution

The fourth proportional to 811.96, 1,120.44 and 480.40 is: 662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.96 : 1,120.44 = 480.40 : x
  2. Step 2: Convert to fraction form
    811.96/1,120.44 = 480.40/x
  3. Step 3: Cross multiply
    811.96x = 1,120.44 × 480.40
  4. Step 4: Simplify right side
    811.96x = 538,259.38
  5. Step 5: Solve for x
    x = 538,259.38/811.96
  6. Step 6: Final answer
    x = 662.91

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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.