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Finding the Fourth Proportional to 597.79, 823.88 and 442.27

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Solution

The fourth proportional to 597.79, 823.88 and 442.27 is: 609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.79 : 823.88 = 442.27 : x
  2. Step 2: Convert to fraction form
    597.79/823.88 = 442.27/x
  3. Step 3: Cross multiply
    597.79x = 823.88 × 442.27
  4. Step 4: Simplify right side
    597.79x = 364,375.20
  5. Step 5: Solve for x
    x = 364,375.20/597.79
  6. Step 6: Final answer
    x = 609.54

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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.