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Finding the Fourth Proportional to 511.13, 705.33 and 287.09

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Solution

The fourth proportional to 511.13, 705.33 and 287.09 is: 396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.13 : 705.33 = 287.09 : x
  2. Step 2: Convert to fraction form
    511.13/705.33 = 287.09/x
  3. Step 3: Cross multiply
    511.13x = 705.33 × 287.09
  4. Step 4: Simplify right side
    511.13x = 202,489.66
  5. Step 5: Solve for x
    x = 202,489.66/511.13
  6. Step 6: Final answer
    x = 396.16

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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.