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Finding the Fourth Proportional to 599.07, 826.49 and 442.08

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Solution

The fourth proportional to 599.07, 826.49 and 442.08 is: 609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.07 : 826.49 = 442.08 : x
  2. Step 2: Convert to fraction form
    599.07/826.49 = 442.08/x
  3. Step 3: Cross multiply
    599.07x = 826.49 × 442.08
  4. Step 4: Simplify right side
    599.07x = 365,374.70
  5. Step 5: Solve for x
    x = 365,374.70/599.07
  6. Step 6: Final answer
    x = 609.90

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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.