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Finding the Fourth Proportional to 511.29, 704.57 and 355.77

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Solution

The fourth proportional to 511.29, 704.57 and 355.77 is: 490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.29 : 704.57 = 355.77 : x
  2. Step 2: Convert to fraction form
    511.29/704.57 = 355.77/x
  3. Step 3: Cross multiply
    511.29x = 704.57 × 355.77
  4. Step 4: Simplify right side
    511.29x = 250,663.09
  5. Step 5: Solve for x
    x = 250,663.09/511.29
  6. Step 6: Final answer
    x = 490.26

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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.