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Finding the Fourth Proportional to 662.46, 914.49 and 579.66

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Solution

The fourth proportional to 662.46, 914.49 and 579.66 is: 800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.46 : 914.49 = 579.66 : x
  2. Step 2: Convert to fraction form
    662.46/914.49 = 579.66/x
  3. Step 3: Cross multiply
    662.46x = 914.49 × 579.66
  4. Step 4: Simplify right side
    662.46x = 530,093.27
  5. Step 5: Solve for x
    x = 530,093.27/662.46
  6. Step 6: Final answer
    x = 800.19

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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.