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Finding the Fourth Proportional to 608.58, 910.78 and 518.33

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Solution

The fourth proportional to 608.58, 910.78 and 518.33 is: 775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.58 : 910.78 = 518.33 : x
  2. Step 2: Convert to fraction form
    608.58/910.78 = 518.33/x
  3. Step 3: Cross multiply
    608.58x = 910.78 × 518.33
  4. Step 4: Simplify right side
    608.58x = 472,085.58
  5. Step 5: Solve for x
    x = 472,085.58/608.58
  6. Step 6: Final answer
    x = 775.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.