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Finding the Fourth Proportional to 511.84, 766.64 and 409.28

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Solution

The fourth proportional to 511.84, 766.64 and 409.28 is: 613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.84 : 766.64 = 409.28 : x
  2. Step 2: Convert to fraction form
    511.84/766.64 = 409.28/x
  3. Step 3: Cross multiply
    511.84x = 766.64 × 409.28
  4. Step 4: Simplify right side
    511.84x = 313,770.42
  5. Step 5: Solve for x
    x = 313,770.42/511.84
  6. Step 6: Final answer
    x = 613.02

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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.