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Finding the Fourth Proportional to 511.84, 764.42 and 409.28

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Solution

The fourth proportional to 511.84, 764.42 and 409.28 is: 611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.84 : 764.42 = 409.28 : x
  2. Step 2: Convert to fraction form
    511.84/764.42 = 409.28/x
  3. Step 3: Cross multiply
    511.84x = 764.42 × 409.28
  4. Step 4: Simplify right side
    511.84x = 312,861.82
  5. Step 5: Solve for x
    x = 312,861.82/511.84
  6. Step 6: Final answer
    x = 611.25

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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.