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Finding the Fourth Proportional to 511.81, 706.19 and 334.75

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Solution

The fourth proportional to 511.81, 706.19 and 334.75 is: 461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.81 : 706.19 = 334.75 : x
  2. Step 2: Convert to fraction form
    511.81/706.19 = 334.75/x
  3. Step 3: Cross multiply
    511.81x = 706.19 × 334.75
  4. Step 4: Simplify right side
    511.81x = 236,397.10
  5. Step 5: Solve for x
    x = 236,397.10/511.81
  6. Step 6: Final answer
    x = 461.88

Related Problems

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Double scale
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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.