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Finding the Fourth Proportional to 511.09, 700.39 and 461.88

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Solution

The fourth proportional to 511.09, 700.39 and 461.88 is: 632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.09 : 700.39 = 461.88 : x
  2. Step 2: Convert to fraction form
    511.09/700.39 = 461.88/x
  3. Step 3: Cross multiply
    511.09x = 700.39 × 461.88
  4. Step 4: Simplify right side
    511.09x = 323,499.34
  5. Step 5: Solve for x
    x = 323,499.34/511.09
  6. Step 6: Final answer
    x = 632.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.