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Finding the Fourth Proportional to 511.80, 705.32 and 418.25

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Solution

The fourth proportional to 511.80, 705.32 and 418.25 is: 576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 705.32 = 418.25 : x
  2. Step 2: Convert to fraction form
    511.80/705.32 = 418.25/x
  3. Step 3: Cross multiply
    511.80x = 705.32 × 418.25
  4. Step 4: Simplify right side
    511.80x = 294,994.47
  5. Step 5: Solve for x
    x = 294,994.47/511.80
  6. Step 6: Final answer
    x = 576.39

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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.