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Finding the Fourth Proportional to 797.56, 1,100.26 and 517.80

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Solution

The fourth proportional to 797.56, 1,100.26 and 517.80 is: 714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.56 : 1,100.26 = 517.80 : x
  2. Step 2: Convert to fraction form
    797.56/1,100.26 = 517.80/x
  3. Step 3: Cross multiply
    797.56x = 1,100.26 × 517.80
  4. Step 4: Simplify right side
    797.56x = 569,720.37
  5. Step 5: Solve for x
    x = 569,720.37/797.56
  6. Step 6: Final answer
    x = 714.33

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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.