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Finding the Fourth Proportional to 804.12, 1,207.86 and 496.32

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Solution

The fourth proportional to 804.12, 1,207.86 and 496.32 is: 745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.12 : 1,207.86 = 496.32 : x
  2. Step 2: Convert to fraction form
    804.12/1,207.86 = 496.32/x
  3. Step 3: Cross multiply
    804.12x = 1,207.86 × 496.32
  4. Step 4: Simplify right side
    804.12x = 599,485.08
  5. Step 5: Solve for x
    x = 599,485.08/804.12
  6. Step 6: Final answer
    x = 745.52

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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.