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Finding the Fourth Proportional to 753.76, 1,041 and 518.33

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Solution

The fourth proportional to 753.76, 1,041 and 518.33 is: 715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.76 : 1,041 = 518.33 : x
  2. Step 2: Convert to fraction form
    753.76/1,041 = 518.33/x
  3. Step 3: Cross multiply
    753.76x = 1,041 × 518.33
  4. Step 4: Simplify right side
    753.76x = 539,581.53
  5. Step 5: Solve for x
    x = 539,581.53/753.76
  6. Step 6: Final answer
    x = 715.85

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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.