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Finding the Fourth Proportional to 797.36, 1,099.68 and 486.32

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Solution

The fourth proportional to 797.36, 1,099.68 and 486.32 is: 670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.36 : 1,099.68 = 486.32 : x
  2. Step 2: Convert to fraction form
    797.36/1,099.68 = 486.32/x
  3. Step 3: Cross multiply
    797.36x = 1,099.68 × 486.32
  4. Step 4: Simplify right side
    797.36x = 534,796.38
  5. Step 5: Solve for x
    x = 534,796.38/797.36
  6. Step 6: Final answer
    x = 670.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.