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Finding the Fourth Proportional to 597.68, 825.08 and 398.85

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Solution

The fourth proportional to 597.68, 825.08 and 398.85 is: 550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.68 : 825.08 = 398.85 : x
  2. Step 2: Convert to fraction form
    597.68/825.08 = 398.85/x
  3. Step 3: Cross multiply
    597.68x = 825.08 × 398.85
  4. Step 4: Simplify right side
    597.68x = 329,083.16
  5. Step 5: Solve for x
    x = 329,083.16/597.68
  6. Step 6: Final answer
    x = 550.60

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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.