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Finding the Fourth Proportional to 511, 704.64 and 336.04

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Solution

The fourth proportional to 511, 704.64 and 336.04 is: 463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511 : 704.64 = 336.04 : x
  2. Step 2: Convert to fraction form
    511/704.64 = 336.04/x
  3. Step 3: Cross multiply
    511x = 704.64 × 336.04
  4. Step 4: Simplify right side
    511x = 236,787.23
  5. Step 5: Solve for x
    x = 236,787.23/511
  6. Step 6: Final answer
    x = 463.38

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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.