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Finding the Fourth Proportional to 811.66, 1,219.69 and 441.74

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Solution

The fourth proportional to 811.66, 1,219.69 and 441.74 is: 663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.66 : 1,219.69 = 441.74 : x
  2. Step 2: Convert to fraction form
    811.66/1,219.69 = 441.74/x
  3. Step 3: Cross multiply
    811.66x = 1,219.69 × 441.74
  4. Step 4: Simplify right side
    811.66x = 538,781.15
  5. Step 5: Solve for x
    x = 538,781.15/811.66
  6. Step 6: Final answer
    x = 663.80

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.