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Finding the Fourth Proportional to 511.59, 705.89 and 353.97

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Solution

The fourth proportional to 511.59, 705.89 and 353.97 is: 488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.59 : 705.89 = 353.97 : x
  2. Step 2: Convert to fraction form
    511.59/705.89 = 353.97/x
  3. Step 3: Cross multiply
    511.59x = 705.89 × 353.97
  4. Step 4: Simplify right side
    511.59x = 249,863.88
  5. Step 5: Solve for x
    x = 249,863.88/511.59
  6. Step 6: Final answer
    x = 488.41

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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.