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Finding the Fourth Proportional to 816.12, 1,126.24 and 443.10

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Solution

The fourth proportional to 816.12, 1,126.24 and 443.10 is: 611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.12 : 1,126.24 = 443.10 : x
  2. Step 2: Convert to fraction form
    816.12/1,126.24 = 443.10/x
  3. Step 3: Cross multiply
    816.12x = 1,126.24 × 443.10
  4. Step 4: Simplify right side
    816.12x = 499,036.94
  5. Step 5: Solve for x
    x = 499,036.94/816.12
  6. Step 6: Final answer
    x = 611.47

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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.