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Finding the Fourth Proportional to 599.79, 826.47 and 459.90

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Solution

The fourth proportional to 599.79, 826.47 and 459.90 is: 633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.79 : 826.47 = 459.90 : x
  2. Step 2: Convert to fraction form
    599.79/826.47 = 459.90/x
  3. Step 3: Cross multiply
    599.79x = 826.47 × 459.90
  4. Step 4: Simplify right side
    599.79x = 380,089.42
  5. Step 5: Solve for x
    x = 380,089.42/599.79
  6. Step 6: Final answer
    x = 633.71

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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.