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Finding the Fourth Proportional to 511.28, 706.10 and 418.33

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Solution

The fourth proportional to 511.28, 706.10 and 418.33 is: 577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.28 : 706.10 = 418.33 : x
  2. Step 2: Convert to fraction form
    511.28/706.10 = 418.33/x
  3. Step 3: Cross multiply
    511.28x = 706.10 × 418.33
  4. Step 4: Simplify right side
    511.28x = 295,381.60
  5. Step 5: Solve for x
    x = 295,381.60/511.28
  6. Step 6: Final answer
    x = 577.73

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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.