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Finding the Fourth Proportional to 569.29, 851.95 and 349.82

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Solution

The fourth proportional to 569.29, 851.95 and 349.82 is: 523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.29 : 851.95 = 349.82 : x
  2. Step 2: Convert to fraction form
    569.29/851.95 = 349.82/x
  3. Step 3: Cross multiply
    569.29x = 851.95 × 349.82
  4. Step 4: Simplify right side
    569.29x = 298,023.14
  5. Step 5: Solve for x
    x = 298,023.14/569.29
  6. Step 6: Final answer
    x = 523.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.