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Finding the Fourth Proportional to 899.70, 1,243.26 and 811.14

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Solution

The fourth proportional to 899.70, 1,243.26 and 811.14 is: 1,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.70 : 1,243.26 = 811.14 : x
  2. Step 2: Convert to fraction form
    899.70/1,243.26 = 811.14/x
  3. Step 3: Cross multiply
    899.70x = 1,243.26 × 811.14
  4. Step 4: Simplify right side
    899.70x = 1,008,457.92
  5. Step 5: Solve for x
    x = 1,008,457.92/899.70
  6. Step 6: Final answer
    x = 1,120.88

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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.