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Finding the Fourth Proportional to 511.68, 706.56 and 381.27

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Solution

The fourth proportional to 511.68, 706.56 and 381.27 is: 526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 706.56 = 381.27 : x
  2. Step 2: Convert to fraction form
    511.68/706.56 = 381.27/x
  3. Step 3: Cross multiply
    511.68x = 706.56 × 381.27
  4. Step 4: Simplify right side
    511.68x = 269,390.13
  5. Step 5: Solve for x
    x = 269,390.13/511.68
  6. Step 6: Final answer
    x = 526.48

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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.