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Finding the Fourth Proportional to 797.32, 1,099.65 and 482.56

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Solution

The fourth proportional to 797.32, 1,099.65 and 482.56 is: 665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.32 : 1,099.65 = 482.56 : x
  2. Step 2: Convert to fraction form
    797.32/1,099.65 = 482.56/x
  3. Step 3: Cross multiply
    797.32x = 1,099.65 × 482.56
  4. Step 4: Simplify right side
    797.32x = 530,647.10
  5. Step 5: Solve for x
    x = 530,647.10/797.32
  6. Step 6: Final answer
    x = 665.54

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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.