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Finding the Fourth Proportional to 797.53, 1,099.46 and 657.43

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Solution

The fourth proportional to 797.53, 1,099.46 and 657.43 is: 906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.53 : 1,099.46 = 657.43 : x
  2. Step 2: Convert to fraction form
    797.53/1,099.46 = 657.43/x
  3. Step 3: Cross multiply
    797.53x = 1,099.46 × 657.43
  4. Step 4: Simplify right side
    797.53x = 722,817.99
  5. Step 5: Solve for x
    x = 722,817.99/797.53
  6. Step 6: Final answer
    x = 906.32

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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.