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Finding the Fourth Proportional to 599.86, 899.31 and 275.44

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Solution

The fourth proportional to 599.86, 899.31 and 275.44 is: 412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.86 : 899.31 = 275.44 : x
  2. Step 2: Convert to fraction form
    599.86/899.31 = 275.44/x
  3. Step 3: Cross multiply
    599.86x = 899.31 × 275.44
  4. Step 4: Simplify right side
    599.86x = 247,705.95
  5. Step 5: Solve for x
    x = 247,705.95/599.86
  6. Step 6: Final answer
    x = 412.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.