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Finding the Fourth Proportional to 860.40, 1,191.24 and 817.20

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Solution

The fourth proportional to 860.40, 1,191.24 and 817.20 is: 1,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.40 : 1,191.24 = 817.20 : x
  2. Step 2: Convert to fraction form
    860.40/1,191.24 = 817.20/x
  3. Step 3: Cross multiply
    860.40x = 1,191.24 × 817.20
  4. Step 4: Simplify right side
    860.40x = 973,481.33
  5. Step 5: Solve for x
    x = 973,481.33/860.40
  6. Step 6: Final answer
    x = 1,131.43

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1.5x scale

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.