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Finding the Fourth Proportional to 597.04, 825.05 and 449.42

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Solution

The fourth proportional to 597.04, 825.05 and 449.42 is: 621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.04 : 825.05 = 449.42 : x
  2. Step 2: Convert to fraction form
    597.04/825.05 = 449.42/x
  3. Step 3: Cross multiply
    597.04x = 825.05 × 449.42
  4. Step 4: Simplify right side
    597.04x = 370,790.97
  5. Step 5: Solve for x
    x = 370,790.97/597.04
  6. Step 6: Final answer
    x = 621.05

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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.