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Finding the Fourth Proportional to 511.79, 768.46 and 307.28

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Solution

The fourth proportional to 511.79, 768.46 and 307.28 is: 461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.79 : 768.46 = 307.28 : x
  2. Step 2: Convert to fraction form
    511.79/768.46 = 307.28/x
  3. Step 3: Cross multiply
    511.79x = 768.46 × 307.28
  4. Step 4: Simplify right side
    511.79x = 236,127.78
  5. Step 5: Solve for x
    x = 236,127.78/511.79
  6. Step 6: Final answer
    x = 461.37

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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.