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Finding the Fourth Proportional to 597.07, 823.65 and 449.90

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Solution

The fourth proportional to 597.07, 823.65 and 449.90 is: 620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.07 : 823.65 = 449.90 : x
  2. Step 2: Convert to fraction form
    597.07/823.65 = 449.90/x
  3. Step 3: Cross multiply
    597.07x = 823.65 × 449.90
  4. Step 4: Simplify right side
    597.07x = 370,560.14
  5. Step 5: Solve for x
    x = 370,560.14/597.07
  6. Step 6: Final answer
    x = 620.64

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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.