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Finding the Fourth Proportional to 1,451.26, 2,003.02 and 830.26

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Solution

The fourth proportional to 1,451.26, 2,003.02 and 830.26 is: 1,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.26 : 2,003.02 = 830.26 : x
  2. Step 2: Convert to fraction form
    1,451.26/2,003.02 = 830.26/x
  3. Step 3: Cross multiply
    1,451.26x = 2,003.02 × 830.26
  4. Step 4: Simplify right side
    1,451.26x = 1,663,027.39
  5. Step 5: Solve for x
    x = 1,663,027.39/1,451.26
  6. Step 6: Final answer
    x = 1,145.92

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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.