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Finding the Fourth Proportional to 804.15, 1,205.55 and 765.88

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Solution

The fourth proportional to 804.15, 1,205.55 and 765.88 is: 1,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.15 : 1,205.55 = 765.88 : x
  2. Step 2: Convert to fraction form
    804.15/1,205.55 = 765.88/x
  3. Step 3: Cross multiply
    804.15x = 1,205.55 × 765.88
  4. Step 4: Simplify right side
    804.15x = 923,306.63
  5. Step 5: Solve for x
    x = 923,306.63/804.15
  6. Step 6: Final answer
    x = 1,148.18

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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.