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Finding the Fourth Proportional to 804.11, 1,204.34 and 511.61

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Solution

The fourth proportional to 804.11, 1,204.34 and 511.61 is: 766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.11 : 1,204.34 = 511.61 : x
  2. Step 2: Convert to fraction form
    804.11/1,204.34 = 511.61/x
  3. Step 3: Cross multiply
    804.11x = 1,204.34 × 511.61
  4. Step 4: Simplify right side
    804.11x = 616,152.39
  5. Step 5: Solve for x
    x = 616,152.39/804.11
  6. Step 6: Final answer
    x = 766.25

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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.