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Finding the Fourth Proportional to 819.20, 1,228.01 and 525.88

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Solution

The fourth proportional to 819.20, 1,228.01 and 525.88 is: 788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.20 : 1,228.01 = 525.88 : x
  2. Step 2: Convert to fraction form
    819.20/1,228.01 = 525.88/x
  3. Step 3: Cross multiply
    819.20x = 1,228.01 × 525.88
  4. Step 4: Simplify right side
    819.20x = 645,777.13
  5. Step 5: Solve for x
    x = 645,777.13/819.20
  6. Step 6: Final answer
    x = 788.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.