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Finding the Fourth Proportional to 753.93, 1,039.63 and 518.23

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Solution

The fourth proportional to 753.93, 1,039.63 and 518.23 is: 714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.93 : 1,039.63 = 518.23 : x
  2. Step 2: Convert to fraction form
    753.93/1,039.63 = 518.23/x
  3. Step 3: Cross multiply
    753.93x = 1,039.63 × 518.23
  4. Step 4: Simplify right side
    753.93x = 538,767.45
  5. Step 5: Solve for x
    x = 538,767.45/753.93
  6. Step 6: Final answer
    x = 714.61

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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.