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Finding the Fourth Proportional to 804.77, 1,204.86 and 622.52

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Solution

The fourth proportional to 804.77, 1,204.86 and 622.52 is: 932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.77 : 1,204.86 = 622.52 : x
  2. Step 2: Convert to fraction form
    804.77/1,204.86 = 622.52/x
  3. Step 3: Cross multiply
    804.77x = 1,204.86 × 622.52
  4. Step 4: Simplify right side
    804.77x = 750,043.42
  5. Step 5: Solve for x
    x = 750,043.42/804.77
  6. Step 6: Final answer
    x = 932.00

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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.