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Finding the Fourth Proportional to 511.40, 706.38 and 396.38

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Solution

The fourth proportional to 511.40, 706.38 and 396.38 is: 547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.40 : 706.38 = 396.38 : x
  2. Step 2: Convert to fraction form
    511.40/706.38 = 396.38/x
  3. Step 3: Cross multiply
    511.40x = 706.38 × 396.38
  4. Step 4: Simplify right side
    511.40x = 279,994.90
  5. Step 5: Solve for x
    x = 279,994.90/511.40
  6. Step 6: Final answer
    x = 547.51

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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.