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Finding the Fourth Proportional to 816.11, 1,126.20 and 443.07

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Solution

The fourth proportional to 816.11, 1,126.20 and 443.07 is: 611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.11 : 1,126.20 = 443.07 : x
  2. Step 2: Convert to fraction form
    816.11/1,126.20 = 443.07/x
  3. Step 3: Cross multiply
    816.11x = 1,126.20 × 443.07
  4. Step 4: Simplify right side
    816.11x = 498,985.43
  5. Step 5: Solve for x
    x = 498,985.43/816.11
  6. Step 6: Final answer
    x = 611.42

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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.