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Finding the Fourth Proportional to 511.34, 705.56 and 287.24

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Solution

The fourth proportional to 511.34, 705.56 and 287.24 is: 396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.34 : 705.56 = 287.24 : x
  2. Step 2: Convert to fraction form
    511.34/705.56 = 287.24/x
  3. Step 3: Cross multiply
    511.34x = 705.56 × 287.24
  4. Step 4: Simplify right side
    511.34x = 202,660.09
  5. Step 5: Solve for x
    x = 202,660.09/511.34
  6. Step 6: Final answer
    x = 396.34

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Double scale
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Similar ratio
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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.