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Finding the Fourth Proportional to 511.56, 769.30 and 407.68

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Solution

The fourth proportional to 511.56, 769.30 and 407.68 is: 613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.56 : 769.30 = 407.68 : x
  2. Step 2: Convert to fraction form
    511.56/769.30 = 407.68/x
  3. Step 3: Cross multiply
    511.56x = 769.30 × 407.68
  4. Step 4: Simplify right side
    511.56x = 313,625.28
  5. Step 5: Solve for x
    x = 313,625.28/511.56
  6. Step 6: Final answer
    x = 613.08

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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.