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Finding the Fourth Proportional to 819.25, 1,130.57 and 451.25

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Solution

The fourth proportional to 819.25, 1,130.57 and 451.25 is: 622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.25 : 1,130.57 = 451.25 : x
  2. Step 2: Convert to fraction form
    819.25/1,130.57 = 451.25/x
  3. Step 3: Cross multiply
    819.25x = 1,130.57 × 451.25
  4. Step 4: Simplify right side
    819.25x = 510,169.71
  5. Step 5: Solve for x
    x = 510,169.71/819.25
  6. Step 6: Final answer
    x = 622.73

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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.