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Finding the Fourth Proportional to 797.70, 1,099.78 and 610.89

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Solution

The fourth proportional to 797.70, 1,099.78 and 610.89 is: 842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.70 : 1,099.78 = 610.89 : x
  2. Step 2: Convert to fraction form
    797.70/1,099.78 = 610.89/x
  3. Step 3: Cross multiply
    797.70x = 1,099.78 × 610.89
  4. Step 4: Simplify right side
    797.70x = 671,845.14
  5. Step 5: Solve for x
    x = 671,845.14/797.70
  6. Step 6: Final answer
    x = 842.23

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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.