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Finding the Fourth Proportional to 797.88, 1,102.50 and 765.48

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Solution

The fourth proportional to 797.88, 1,102.50 and 765.48 is: 1,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.88 : 1,102.50 = 765.48 : x
  2. Step 2: Convert to fraction form
    797.88/1,102.50 = 765.48/x
  3. Step 3: Cross multiply
    797.88x = 1,102.50 × 765.48
  4. Step 4: Simplify right side
    797.88x = 843,941.70
  5. Step 5: Solve for x
    x = 843,941.70/797.88
  6. Step 6: Final answer
    x = 1,057.73

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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.