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Finding the Fourth Proportional to 751.09, 1,124.81 and 519.32

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Solution

The fourth proportional to 751.09, 1,124.81 and 519.32 is: 777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.09 : 1,124.81 = 519.32 : x
  2. Step 2: Convert to fraction form
    751.09/1,124.81 = 519.32/x
  3. Step 3: Cross multiply
    751.09x = 1,124.81 × 519.32
  4. Step 4: Simplify right side
    751.09x = 584,136.54
  5. Step 5: Solve for x
    x = 584,136.54/751.09
  6. Step 6: Final answer
    x = 777.72

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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.