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Finding the Fourth Proportional to 825.92, 1,140 and 511.28

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Solution

The fourth proportional to 825.92, 1,140 and 511.28 is: 705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.92 : 1,140 = 511.28 : x
  2. Step 2: Convert to fraction form
    825.92/1,140 = 511.28/x
  3. Step 3: Cross multiply
    825.92x = 1,140 × 511.28
  4. Step 4: Simplify right side
    825.92x = 582,859.20
  5. Step 5: Solve for x
    x = 582,859.20/825.92
  6. Step 6: Final answer
    x = 705.71

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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.