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Finding the Fourth Proportional to 804.80, 1,206.39 and 438.83

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Solution

The fourth proportional to 804.80, 1,206.39 and 438.83 is: 657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.80 : 1,206.39 = 438.83 : x
  2. Step 2: Convert to fraction form
    804.80/1,206.39 = 438.83/x
  3. Step 3: Cross multiply
    804.80x = 1,206.39 × 438.83
  4. Step 4: Simplify right side
    804.80x = 529,400.12
  5. Step 5: Solve for x
    x = 529,400.12/804.80
  6. Step 6: Final answer
    x = 657.80

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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.