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Finding the Fourth Proportional to 599.63, 826.98 and 459.50

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Solution

The fourth proportional to 599.63, 826.98 and 459.50 is: 633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.63 : 826.98 = 459.50 : x
  2. Step 2: Convert to fraction form
    599.63/826.98 = 459.50/x
  3. Step 3: Cross multiply
    599.63x = 826.98 × 459.50
  4. Step 4: Simplify right side
    599.63x = 379,997.31
  5. Step 5: Solve for x
    x = 379,997.31/599.63
  6. Step 6: Final answer
    x = 633.72

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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.