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Finding the Fourth Proportional to 511.93, 706.25 and 334.82

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Solution

The fourth proportional to 511.93, 706.25 and 334.82 is: 461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.93 : 706.25 = 334.82 : x
  2. Step 2: Convert to fraction form
    511.93/706.25 = 334.82/x
  3. Step 3: Cross multiply
    511.93x = 706.25 × 334.82
  4. Step 4: Simplify right side
    511.93x = 236,466.63
  5. Step 5: Solve for x
    x = 236,466.63/511.93
  6. Step 6: Final answer
    x = 461.91

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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.