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Finding the Fourth Proportional to 599.70, 827.06 and 459.57

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Solution

The fourth proportional to 599.70, 827.06 and 459.57 is: 633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.70 : 827.06 = 459.57 : x
  2. Step 2: Convert to fraction form
    599.70/827.06 = 459.57/x
  3. Step 3: Cross multiply
    599.70x = 827.06 × 459.57
  4. Step 4: Simplify right side
    599.70x = 380,095.35
  5. Step 5: Solve for x
    x = 380,095.35/599.70
  6. Step 6: Final answer
    x = 633.81

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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.