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Finding the Fourth Proportional to 511.75, 706.23 and 287.72

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Solution

The fourth proportional to 511.75, 706.23 and 287.72 is: 397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.75 : 706.23 = 287.72 : x
  2. Step 2: Convert to fraction form
    511.75/706.23 = 287.72/x
  3. Step 3: Cross multiply
    511.75x = 706.23 × 287.72
  4. Step 4: Simplify right side
    511.75x = 203,196.40
  5. Step 5: Solve for x
    x = 203,196.40/511.75
  6. Step 6: Final answer
    x = 397.06

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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.