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Finding the Fourth Proportional to 597.22, 823.74 and 439.90

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Solution

The fourth proportional to 597.22, 823.74 and 439.90 is: 606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.22 : 823.74 = 439.90 : x
  2. Step 2: Convert to fraction form
    597.22/823.74 = 439.90/x
  3. Step 3: Cross multiply
    597.22x = 823.74 × 439.90
  4. Step 4: Simplify right side
    597.22x = 362,363.23
  5. Step 5: Solve for x
    x = 362,363.23/597.22
  6. Step 6: Final answer
    x = 606.75

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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.