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Finding the Fourth Proportional to 1,409.51, 2,114.25 and 422.33

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Solution

The fourth proportional to 1,409.51, 2,114.25 and 422.33 is: 633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.51 : 2,114.25 = 422.33 : x
  2. Step 2: Convert to fraction form
    1,409.51/2,114.25 = 422.33/x
  3. Step 3: Cross multiply
    1,409.51x = 2,114.25 × 422.33
  4. Step 4: Simplify right side
    1,409.51x = 892,911.20
  5. Step 5: Solve for x
    x = 892,911.20/1,409.51
  6. Step 6: Final answer
    x = 633.49

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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.