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Finding the Fourth Proportional to 899.68, 1,224.96 and 896.80

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Solution

The fourth proportional to 899.68, 1,224.96 and 896.80 is: 1,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.68 : 1,224.96 = 896.80 : x
  2. Step 2: Convert to fraction form
    899.68/1,224.96 = 896.80/x
  3. Step 3: Cross multiply
    899.68x = 1,224.96 × 896.80
  4. Step 4: Simplify right side
    899.68x = 1,098,544.13
  5. Step 5: Solve for x
    x = 1,098,544.13/899.68
  6. Step 6: Final answer
    x = 1,221.04

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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 (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.