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Finding the Fourth Proportional to 860.76, 1,291.33 and 305.43

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Solution

The fourth proportional to 860.76, 1,291.33 and 305.43 is: 458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.76 : 1,291.33 = 305.43 : x
  2. Step 2: Convert to fraction form
    860.76/1,291.33 = 305.43/x
  3. Step 3: Cross multiply
    860.76x = 1,291.33 × 305.43
  4. Step 4: Simplify right side
    860.76x = 394,414.15
  5. Step 5: Solve for x
    x = 394,414.15/860.76
  6. Step 6: Final answer
    x = 458.22

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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.