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Finding the Fourth Proportional to 804.00, 1,208.02 and 511.63

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Solution

The fourth proportional to 804.00, 1,208.02 and 511.63 is: 768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.00 : 1,208.02 = 511.63 : x
  2. Step 2: Convert to fraction form
    804.00/1,208.02 = 511.63/x
  3. Step 3: Cross multiply
    804.00x = 1,208.02 × 511.63
  4. Step 4: Simplify right side
    804.00x = 618,050.67
  5. Step 5: Solve for x
    x = 618,050.67/804.00
  6. Step 6: Final answer
    x = 768.72

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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.