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Finding the Fourth Proportional to 797.49, 1,099.71 and 535.05

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Solution

The fourth proportional to 797.49, 1,099.71 and 535.05 is: 737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.49 : 1,099.71 = 535.05 : x
  2. Step 2: Convert to fraction form
    797.49/1,099.71 = 535.05/x
  3. Step 3: Cross multiply
    797.49x = 1,099.71 × 535.05
  4. Step 4: Simplify right side
    797.49x = 588,399.84
  5. Step 5: Solve for x
    x = 588,399.84/797.49
  6. Step 6: Final answer
    x = 737.81

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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.