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Finding the Fourth Proportional to 746.89, 1,120.92 and 517.39

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Solution

The fourth proportional to 746.89, 1,120.92 and 517.39 is: 776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.89 : 1,120.92 = 517.39 : x
  2. Step 2: Convert to fraction form
    746.89/1,120.92 = 517.39/x
  3. Step 3: Cross multiply
    746.89x = 1,120.92 × 517.39
  4. Step 4: Simplify right side
    746.89x = 579,957.27
  5. Step 5: Solve for x
    x = 579,957.27/746.89
  6. Step 6: Final answer
    x = 776.49

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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.