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Finding the Fourth Proportional to 860.22, 1,291.24 and 535.81

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Solution

The fourth proportional to 860.22, 1,291.24 and 535.81 is: 804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.22 : 1,291.24 = 535.81 : x
  2. Step 2: Convert to fraction form
    860.22/1,291.24 = 535.81/x
  3. Step 3: Cross multiply
    860.22x = 1,291.24 × 535.81
  4. Step 4: Simplify right side
    860.22x = 691,859.30
  5. Step 5: Solve for x
    x = 691,859.30/860.22
  6. Step 6: Final answer
    x = 804.28

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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.