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Finding the Fourth Proportional to 797.20, 1,193.34 and 565

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Solution

The fourth proportional to 797.20, 1,193.34 and 565 is: 845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.20 : 1,193.34 = 565 : x
  2. Step 2: Convert to fraction form
    797.20/1,193.34 = 565/x
  3. Step 3: Cross multiply
    797.20x = 1,193.34 × 565
  4. Step 4: Simplify right side
    797.20x = 674,237.10
  5. Step 5: Solve for x
    x = 674,237.10/797.20
  6. Step 6: Final answer
    x = 845.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.