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Finding the Fourth Proportional to 819.23, 1,128.05 and 700.30

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Solution

The fourth proportional to 819.23, 1,128.05 and 700.30 is: 964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.23 : 1,128.05 = 700.30 : x
  2. Step 2: Convert to fraction form
    819.23/1,128.05 = 700.30/x
  3. Step 3: Cross multiply
    819.23x = 1,128.05 × 700.30
  4. Step 4: Simplify right side
    819.23x = 789,967.09
  5. Step 5: Solve for x
    x = 789,967.09/819.23
  6. Step 6: Final answer
    x = 964.29

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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.