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Finding the Fourth Proportional to 797.67, 1,190.80 and 693.90

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Solution

The fourth proportional to 797.67, 1,190.80 and 693.90 is: 1,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.67 : 1,190.80 = 693.90 : x
  2. Step 2: Convert to fraction form
    797.67/1,190.80 = 693.90/x
  3. Step 3: Cross multiply
    797.67x = 1,190.80 × 693.90
  4. Step 4: Simplify right side
    797.67x = 826,296.12
  5. Step 5: Solve for x
    x = 826,296.12/797.67
  6. Step 6: Final answer
    x = 1,035.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.