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Finding the Fourth Proportional to 511.78, 706.16 and 334.66

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Solution

The fourth proportional to 511.78, 706.16 and 334.66 is: 461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.78 : 706.16 = 334.66 : x
  2. Step 2: Convert to fraction form
    511.78/706.16 = 334.66/x
  3. Step 3: Cross multiply
    511.78x = 706.16 × 334.66
  4. Step 4: Simplify right side
    511.78x = 236,323.51
  5. Step 5: Solve for x
    x = 236,323.51/511.78
  6. Step 6: Final answer
    x = 461.77

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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.