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Finding the Fourth Proportional to 580.92, 867.44 and 511.90

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Solution

The fourth proportional to 580.92, 867.44 and 511.90 is: 764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 867.44 = 511.90 : x
  2. Step 2: Convert to fraction form
    580.92/867.44 = 511.90/x
  3. Step 3: Cross multiply
    580.92x = 867.44 × 511.90
  4. Step 4: Simplify right side
    580.92x = 444,042.54
  5. Step 5: Solve for x
    x = 444,042.54/580.92
  6. Step 6: Final answer
    x = 764.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.