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Finding the Fourth Proportional to 804.64, 1,199.91 and 797.34

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Solution

The fourth proportional to 804.64, 1,199.91 and 797.34 is: 1,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.64 : 1,199.91 = 797.34 : x
  2. Step 2: Convert to fraction form
    804.64/1,199.91 = 797.34/x
  3. Step 3: Cross multiply
    804.64x = 1,199.91 × 797.34
  4. Step 4: Simplify right side
    804.64x = 956,736.24
  5. Step 5: Solve for x
    x = 956,736.24/804.64
  6. Step 6: Final answer
    x = 1,189.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.