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Finding the Fourth Proportional to 511.39, 762.66 and 434.84

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Solution

The fourth proportional to 511.39, 762.66 and 434.84 is: 648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.39 : 762.66 = 434.84 : x
  2. Step 2: Convert to fraction form
    511.39/762.66 = 434.84/x
  3. Step 3: Cross multiply
    511.39x = 762.66 × 434.84
  4. Step 4: Simplify right side
    511.39x = 331,635.07
  5. Step 5: Solve for x
    x = 331,635.07/511.39
  6. Step 6: Final answer
    x = 648.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.