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Finding the Fourth Proportional to 511.86, 706.76 and 334.87

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Solution

The fourth proportional to 511.86, 706.76 and 334.87 is: 462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 706.76 = 334.87 : x
  2. Step 2: Convert to fraction form
    511.86/706.76 = 334.87/x
  3. Step 3: Cross multiply
    511.86x = 706.76 × 334.87
  4. Step 4: Simplify right side
    511.86x = 236,672.72
  5. Step 5: Solve for x
    x = 236,672.72/511.86
  6. Step 6: Final answer
    x = 462.38

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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.