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Finding the Fourth Proportional to 1,091.26, 1,636.89 and 433.34

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Solution

The fourth proportional to 1,091.26, 1,636.89 and 433.34 is: 650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.26 : 1,636.89 = 433.34 : x
  2. Step 2: Convert to fraction form
    1,091.26/1,636.89 = 433.34/x
  3. Step 3: Cross multiply
    1,091.26x = 1,636.89 × 433.34
  4. Step 4: Simplify right side
    1,091.26x = 709,329.91
  5. Step 5: Solve for x
    x = 709,329.91/1,091.26
  6. Step 6: Final answer
    x = 650.01

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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.